10056100000056 has 256 divisors, whose sum is σ = 28567123200000. Its totient is φ = 2922936606720.

The previous prime is 10056100000039. The next prime is 10056100000109. The reversal of 10056100000056 is 65000000165001.

It is a super-2 number, since 2×10056100000056² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10056099999981 and 10056100000035.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 522412320 + ... + 522431568.

It is an arithmetic number, because the mean of its divisors is an integer number (111590325000).

Almost surely, 2^{10056100000056} 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 10056100000056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14283561600000).

10056100000056 is an abundant number, since it is smaller than the sum of its proper divisors (18511023199944).

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

10056100000056 is a wasteful number, since it uses less digits than its factorization.

10056100000056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20062 (or 20058 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 10056100000056 its reverse (65000000165001), we get a palindrome (75056100165057).

The spelling of 10056100000056 in words is "ten trillion, fifty-six billion, one hundred million, fifty-six", and thus it is an aban number.