10656995138496 has 1008 divisors, whose sum is σ = 37628189310400. Its totient is φ = 2992471050240.

The previous prime is 10656995138477. The next prime is 10656995138513. The reversal of 10656995138496 is 69483159965601.

10656995138496 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 69 + 9 + 513 + 8 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×10656995138496² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8785650786 + ... + 8785651998.

Almost surely, 2^{10656995138496} is an apocalyptic number.

10656995138496 is a gapful number since it is divisible by the number (16) 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 10656995138496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18814094655200).

10656995138496 is an abundant number, since it is smaller than the sum of its proper divisors (26971194171904).

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

10656995138496 is an frugal number, since it uses more digits than its factorization.

10656995138496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 377913600, while the sum is 72.

The spelling of 10656995138496 in words is "ten trillion, six hundred fifty-six billion, nine hundred ninety-five million, one hundred thirty-eight thousand, four hundred ninety-six".