55574289388800 has 3888 divisors, whose sum is σ = 271347159961920. Its totient is φ = 11029508259840.

The previous prime is 55574289388763. The next prime is 55574289388831. The reversal of 55574289388800 is 888398247555.

It is a happy number.

55574289388800 is a `hidden beast` number, since 5 + 5 + 57 + 42 + 89 + 388 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 431 ways as a sum of consecutive naturals, for example, 31811269527 + ... + 31811271273.

Almost surely, 2^{55574289388800} is an apocalyptic number.

55574289388800 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 55574289388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135673579980960).

55574289388800 is an abundant number, since it is smaller than the sum of its proper divisors (215772870573120).

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

55574289388800 is a wasteful number, since it uses less digits than its factorization.

55574289388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 774144000, while the sum is 72.

The spelling of 55574289388800 in words is "fifty-five trillion, five hundred seventy-four billion, two hundred eighty-nine million, three hundred eighty-eight thousand, eight hundred".