10656556141000 has 512 divisors, whose sum is σ = 32413244497920. Its totient is φ = 3183014016000.

The previous prime is 10656556140991. The next prime is 10656556141037. The reversal of 10656556141000 is 14165565601.

It is a super-2 number, since 2×10656556141000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 175452637 + ... + 175513363.

It is an arithmetic number, because the mean of its divisors is an integer number (63307118160).

Almost surely, 2^{10656556141000} is an apocalyptic number.

10656556141000 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 10656556141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16206622248960).

10656556141000 is an abundant number, since it is smaller than the sum of its proper divisors (21756688356920).

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

10656556141000 is a wasteful number, since it uses less digits than its factorization.

10656556141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60862 (or 60848 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 10656556141000 in words is "ten trillion, six hundred fifty-six billion, five hundred fifty-six million, one hundred forty-one thousand".