10556273042700 has 288 divisors, whose sum is σ = 38889558908928. Its totient is φ = 2146840608000.

The previous prime is 10556273042687. The next prime is 10556273042797. The reversal of 10556273042700 is 724037265501.

10556273042700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10556273042700² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3775806 + ... + 5947205.

It is an arithmetic number, because the mean of its divisors is an integer number (135033190656).

Almost surely, 2^{10556273042700} is an apocalyptic number.

10556273042700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10556273042700 is an abundant number, since it is smaller than the sum of its proper divisors (28333285866228).

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

10556273042700 is a wasteful number, since it uses less digits than its factorization.

10556273042700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9723093 (or 9723086 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 10556273042700 in words is "ten trillion, five hundred fifty-six billion, two hundred seventy-three million, forty-two thousand, seven hundred".