55431806976000 has 4608 divisors, whose sum is σ = 270412793763840. Its totient is φ = 11007531417600.

The previous prime is 55431806975849. The next prime is 55431806976041. The reversal of 55431806976000 is 67960813455.

55431806976000 is a `hidden beast` number, since 5 + 5 + 431 + 80 + 69 + 76 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3260694527992 + ... + 3260694528008.

It is an arithmetic number, because the mean of its divisors is an integer number (58683331980).

Almost surely, 2^{55431806976000} is an apocalyptic number.

55431806976000 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 55431806976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135206396881920).

55431806976000 is an abundant number, since it is smaller than the sum of its proper divisors (214980986787840).

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

55431806976000 is an frugal number, since it uses more digits than its factorization.

55431806976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 55431806976000 in words is "fifty-five trillion, four hundred thirty-one billion, eight hundred six million, nine hundred seventy-six thousand".