10656375164820 has 4032 divisors, whose sum is σ = 48832819660800. Its totient is φ = 1919263610880.

The previous prime is 10656375164819. The next prime is 10656375164863. The reversal of 10656375164820 is 2846157365601.

It is a happy number.

10656375164820 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 63 + 7 + 516 + 48 + 20 = 666.

It is a super-2 number, since 2×10656375164820² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 99592291207 + ... + 99592291313.

It is an arithmetic number, because the mean of its divisors is an integer number (12111314400).

Almost surely, 2^{10656375164820} is an apocalyptic number.

10656375164820 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 10656375164820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24416409830400).

10656375164820 is an abundant number, since it is smaller than the sum of its proper divisors (38176444495980).

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

10656375164820 is a wasteful number, since it uses less digits than its factorization.

10656375164820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 10656375164820 in words is "ten trillion, six hundred fifty-six billion, three hundred seventy-five million, one hundred sixty-four thousand, eight hundred twenty".