10556743775600 has 480 divisors, whose sum is σ = 28726851149568. Its totient is φ = 3694924800000.

The previous prime is 10556743775579. The next prime is 10556743775647. The reversal of 10556743775600 is 657734765501.

It is a happy number.

It is a super-2 number, since 2×10556743775600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 4452442415 + ... + 4452444785.

Almost surely, 2^{10556743775600} is an apocalyptic number.

10556743775600 is a gapful number since it is divisible by the number (10) 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 10556743775600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14363425574784).

10556743775600 is an abundant number, since it is smaller than the sum of its proper divisors (18170107373968).

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

10556743775600 is a wasteful number, since it uses less digits than its factorization.

10556743775600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 18522000, while the sum is 56.

The spelling of 10556743775600 in words is "ten trillion, five hundred fifty-six billion, seven hundred forty-three million, seven hundred seventy-five thousand, six hundred".