56935906172928 has 560 divisors, whose sum is σ = 175816157459184. Its totient is φ = 18346841210880.

The previous prime is 56935906172927. The next prime is 56935906172983. The reversal of 56935906172928 is 82927160953965.

It is a happy number.

56935906172928 is a `hidden beast` number, since 5 + 6 + 9 + 3 + 590 + 6 + 1 + 7 + 2 + 9 + 28 = 666.

It is a super-3 number, since 3×56935906172928³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56935906172927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3854566183 + ... + 3854580953.

Almost surely, 2^{56935906172928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56935906172928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87908078729592).

56935906172928 is an abundant number, since it is smaller than the sum of its proper divisors (118880251286256).

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

56935906172928 is a wasteful number, since it uses less digits than its factorization.

56935906172928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15003 (or 14970 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 56935906172928 in words is "fifty-six trillion, nine hundred thirty-five billion, nine hundred six million, one hundred seventy-two thousand, nine hundred twenty-eight".