56901276432 has 960 divisors, whose sum is σ = 225249583104. Its totient is φ = 12934287360.

The previous prime is 56901276331. The next prime is 56901276473. The reversal of 56901276432 is 23467210965.

56901276432 is a `hidden beast` number, since 5 + 6 + 90 + 127 + 6 + 432 = 666.

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 191 ways as a sum of consecutive naturals, for example, 250666303 + ... + 250666529.

Almost surely, 2^56901276432 is an apocalyptic number.

56901276432 is a gapful number since it is divisible by the number (52) 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 56901276432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112624791552).

56901276432 is an abundant number, since it is smaller than the sum of its proper divisors (168348306672).

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

56901276432 is a wasteful number, since it uses less digits than its factorization.

56901276432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

It can be divided in two parts, 56901 and 276432, that added together give a palindrome (333333).

The spelling of 56901276432 in words is "fifty-six billion, nine hundred one million, two hundred seventy-six thousand, four hundred thirty-two".