55522389350400 has 288 divisors, whose sum is σ = 209770531326720. Its totient is φ = 12690831605760.

The previous prime is 55522389350387. The next prime is 55522389350471. The reversal of 55522389350400 is 405398322555.

It is a super-2 number, since 2×55522389350400² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 24744364 + ... + 26894763.

It is an arithmetic number, because the mean of its divisors is an integer number (728369900440).

Almost surely, 2^{55522389350400} is an apocalyptic number.

55522389350400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55522389350400 is an abundant number, since it is smaller than the sum of its proper divisors (154248141976320).

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

55522389350400 is a wasteful number, since it uses less digits than its factorization.

55522389350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51639169 (or 51639144 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 51.

The spelling of 55522389350400 in words is "fifty-five trillion, five hundred twenty-two billion, three hundred eighty-nine million, three hundred fifty thousand, four hundred".