55785924334400 has 84 divisors (see below), whose sum is σ = 147827335510092. Its totient is φ = 20597879746560.

The previous prime is 55785924334397. The next prime is 55785924334417. The reversal of 55785924334400 is 443342958755.

It can be written as a sum of positive squares in 6 ways, for example, as 15231036068416 + 40554888265984 = 3902696^2 + 6368272^2 .

It is a super-2 number, since 2×55785924334400² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55785924334400.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1340986997 + ... + 1341028596.

It is an arithmetic number, because the mean of its divisors is an integer number (1759849232263).

Almost surely, 2^{55785924334400} is an apocalyptic number.

55785924334400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55785924334400 is an abundant number, since it is smaller than the sum of its proper divisors (92041411175692).

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

55785924334400 is a wasteful number, since it uses less digits than its factorization.

55785924334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682015628 (or 2682015613 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 59.

The spelling of 55785924334400 in words is "fifty-five trillion, seven hundred eighty-five billion, nine hundred twenty-four million, three hundred thirty-four thousand, four hundred".