56575696550400 has 720 divisors, whose sum is σ = 205770647871360. Its totient is φ = 14842198425600.

The previous prime is 56575696550389. The next prime is 56575696550411. The reversal of 56575696550400 is 405569657565.

It is a happy number.

56575696550400 is a `hidden beast` number, since 5 + 6 + 5 + 7 + 5 + 69 + 65 + 504 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56575696550389) and next prime (56575696550411).

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2557313739 + ... + 2557335861.

It is an arithmetic number, because the mean of its divisors is an integer number (285792566488).

Almost surely, 2^{56575696550400} is an apocalyptic number.

56575696550400 is a gapful number since it is divisible by the number (50) 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 56575696550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102885323935680).

56575696550400 is an abundant number, since it is smaller than the sum of its proper divisors (149194951320960).

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

56575696550400 is a wasteful number, since it uses less digits than its factorization.

56575696550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22517 (or 22493 counting only the distinct ones).

The product of its (nonzero) digits is 170100000, while the sum is 63.

The spelling of 56575696550400 in words is "fifty-six trillion, five hundred seventy-five billion, six hundred ninety-six million, five hundred fifty thousand, four hundred".