56787612192000 has 3240 divisors, whose sum is σ = 235433982295512. Its totient is φ = 13581582336000.

The previous prime is 56787612191951. The next prime is 56787612192049. The reversal of 56787612192000 is 29121678765.

56787612192000 is a `hidden beast` number, since 5 + 6 + 7 + 8 + 7 + 612 + 19 + 2 + 0 + 0 + 0 = 666.

56787612192000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56787612191951) and next prime (56787612192049).

It can be written as a sum of positive squares in 12 ways, for example, as 39421923001344 + 17365689190656 = 6278688^2 + 4167216^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1320642143979 + ... + 1320642144021.

Almost surely, 2^{56787612192000} is an apocalyptic number.

56787612192000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56787612192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117716991147756).

56787612192000 is an abundant number, since it is smaller than the sum of its proper divisors (178646370103512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56787612192000 is an equidigital number, since it uses as much as digits as its factorization.

56787612192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 56787612192000 in words is "fifty-six trillion, seven hundred eighty-seven billion, six hundred twelve million, one hundred ninety-two thousand".