56754432000000 has 4200 divisors, whose sum is σ = 267621046906752. Its totient is φ = 11678515200000.

The previous prime is 56754431999987. The next prime is 56754432000031. The reversal of 56754432000000 is 23445765.

56754432000000 is a `hidden beast` number, since 5 + 6 + 7 + 5 + 443 + 200 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4200).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 279 ways as a sum of consecutive naturals, for example, 2467583999989 + ... + 2467584000011.

Almost surely, 2^{56754432000000} is an apocalyptic number.

56754432000000 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 56754432000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133810523453376).

56754432000000 is an abundant number, since it is smaller than the sum of its proper divisors (210866614906752).

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

56754432000000 is an frugal number, since it uses more digits than its factorization.

56754432000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 56754432000000 its reverse (23445765), we get a palindrome (56754455445765).

The spelling of 56754432000000 in words is "fifty-six trillion, seven hundred fifty-four billion, four hundred thirty-two million", and thus it is an aban number.