56787153325056 has 3696 divisors, whose sum is σ = 234247374009600. Its totient is φ = 13408979189760.

The previous prime is 56787153325003. The next prime is 56787153325073. The reversal of 56787153325056 is 65052335178765.

56787153325056 is a `hidden beast` number, since 5 + 6 + 7 + 8 + 71 + 53 + 3 + 2 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3696).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 56787153324984 and 56787153325002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 348387443631 + ... + 348387443793.

Almost surely, 2^{56787153325056} is an apocalyptic number.

56787153325056 is a gapful number since it is divisible by the number (56) 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 56787153325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117123687004800).

56787153325056 is an abundant number, since it is smaller than the sum of its proper divisors (177460220684544).

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

56787153325056 is a wasteful number, since it uses less digits than its factorization.

56787153325056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 158760000, while the sum is 63.

The spelling of 56787153325056 in words is "fifty-six trillion, seven hundred eighty-seven billion, one hundred fifty-three million, three hundred twenty-five thousand, fifty-six".