56939552817552 has 200 divisors, whose sum is σ = 175223793888000. Its totient is φ = 17788645260288.

The previous prime is 56939552817547. The next prime is 56939552817557. The reversal of 56939552817552 is 25571825593965.

56939552817552 is a `hidden beast` number, since 5 + 6 + 9 + 3 + 9 + 5 + 52 + 8 + 17 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (56939552817547) and next prime (56939552817557).

It is a super-3 number, since 3×56939552817552³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (56939552817557) 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, 141052 + ... + 10672347.

It is an arithmetic number, because the mean of its divisors is an integer number (876118969440).

Almost surely, 2^{56939552817552} 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 56939552817552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87611896944000).

56939552817552 is an abundant number, since it is smaller than the sum of its proper divisors (118284241070448).

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

56939552817552 is a wasteful number, since it uses less digits than its factorization.

56939552817552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10813675 (or 10813660 counting only the distinct ones).

The product of its digits is 1020600000, while the sum is 72.

The spelling of 56939552817552 in words is "fifty-six trillion, nine hundred thirty-nine billion, five hundred fifty-two million, eight hundred seventeen thousand, five hundred fifty-two".