55431594189972 has 3840 divisors, whose sum is σ = 221154485207040. Its totient is φ = 11639738880000.

The previous prime is 55431594189971. The next prime is 55431594189997. The reversal of 55431594189972 is 27998149513455.

It is a happy number.

55431594189972 is a `hidden beast` number, since 5 + 5 + 4 + 3 + 1 + 59 + 418 + 99 + 72 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 55431594189972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55431594189971) by changing a digit.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 780726678697 + ... + 780726678767.

It is an arithmetic number, because the mean of its divisors is an integer number (57592313856).

Almost surely, 2^{55431594189972} is an apocalyptic number.

55431594189972 is a gapful number since it is divisible by the number (52) 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 55431594189972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110577242603520).

55431594189972 is an abundant number, since it is smaller than the sum of its proper divisors (165722891017068).

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

55431594189972 is a wasteful number, since it uses less digits than its factorization.

55431594189972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its digits is 489888000, while the sum is 72.

The spelling of 55431594189972 in words is "fifty-five trillion, four hundred thirty-one billion, five hundred ninety-four million, one hundred eighty-nine thousand, nine hundred seventy-two".