5656645653120 has 1280 divisors, whose sum is σ = 25418556345600. Its totient is φ = 1164533760000.

The previous prime is 5656645653101. The next prime is 5656645653163. The reversal of 5656645653120 is 213565466565.

5656645653120 is a `hidden beast` number, since 5 + 6 + 5 + 6 + 64 + 565 + 3 + 12 + 0 = 666.

It is a super-2 number, since 2×5656645653120² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 435086620 + ... + 435099620.

It is an arithmetic number, because the mean of its divisors is an integer number (19858247145).

Almost surely, 2^{5656645653120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5656645653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12709278172800).

5656645653120 is an abundant number, since it is smaller than the sum of its proper divisors (19761910692480).

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

5656645653120 is a wasteful number, since it uses less digits than its factorization.

5656645653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13159 (or 13138 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 5656645653120 in words is "five trillion, six hundred fifty-six billion, six hundred forty-five million, six hundred fifty-three thousand, one hundred twenty".