10556055600000 has 384 divisors, whose sum is σ = 35994532140000. Its totient is φ = 2738856960000.

The previous prime is 10556055599987. The next prime is 10556055600023. The reversal of 10556055600000 is 655065501.

10556055600000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10556055600000² (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 47 ways as a sum of consecutive naturals, for example, 44281126 + ... + 44518874.

Almost surely, 2^{10556055600000} is an apocalyptic number.

10556055600000 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 10556055600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17997266070000).

10556055600000 is an abundant number, since it is smaller than the sum of its proper divisors (25438476540000).

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

10556055600000 is an frugal number, since it uses more digits than its factorization.

10556055600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237828 (or 237796 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 10556055600000 in words is "ten trillion, five hundred fifty-six billion, fifty-five million, six hundred thousand".