5656114131360 has 1152 divisors, whose sum is σ = 24568148828160. Its totient is φ = 1077492326400.

The previous prime is 5656114131229. The next prime is 5656114131413. The reversal of 5656114131360 is 631314116565.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 152367522 + ... + 152404638.

It is an arithmetic number, because the mean of its divisors is an integer number (21326518080).

Almost surely, 2^{5656114131360} 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 5656114131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12284074414080).

5656114131360 is an abundant number, since it is smaller than the sum of its proper divisors (18912034696800).

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

5656114131360 is a wasteful number, since it uses less digits than its factorization.

5656114131360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37210 (or 37195 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 5656114131360 in words is "five trillion, six hundred fifty-six billion, one hundred fourteen million, one hundred thirty-one thousand, three hundred sixty".