5656390037424 has 480 divisors, whose sum is σ = 19064058393600. Its totient is φ = 1600979627520.

The previous prime is 5656390037411. The next prime is 5656390037471. The reversal of 5656390037424 is 4247300936565.

5656390037424 is a `hidden beast` number, since 5 + 6 + 563 + 9 + 0 + 0 + 3 + 74 + 2 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 1993791334 + ... + 1993794170.

It is an arithmetic number, because the mean of its divisors is an integer number (39716788320).

Almost surely, 2^{5656390037424} is an apocalyptic number.

5656390037424 is a gapful number since it is divisible by the number (54) 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 5656390037424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9532029196800).

5656390037424 is an abundant number, since it is smaller than the sum of its proper divisors (13407668356176).

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

5656390037424 is a wasteful number, since it uses less digits than its factorization.

5656390037424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 5656390037424 in words is "five trillion, six hundred fifty-six billion, three hundred ninety million, thirty-seven thousand, four hundred twenty-four".