56056006111056 has 320 divisors, whose sum is σ = 169205463490560. Its totient is φ = 15661361664000.

The previous prime is 56056006110971. The next prime is 56056006111099. The reversal of 56056006111056 is 65011160065065.

It is a super-2 number, since 2×56056006111056² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 56056006110999 and 56056006111017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2560442446 + ... + 2560464338.

It is an arithmetic number, because the mean of its divisors is an integer number (528767073408).

Almost surely, 2^{56056006111056} is an apocalyptic number.

56056006111056 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 56056006111056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84602731745280).

56056006111056 is an abundant number, since it is smaller than the sum of its proper divisors (113149457379504).

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

56056006111056 is a wasteful number, since it uses less digits than its factorization.

56056006111056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22874 (or 22868 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 56056006111056 in words is "fifty-six trillion, fifty-six billion, six million, one hundred eleven thousand, fifty-six".