54631238918400 has 864 divisors, whose sum is σ = 204382082459520. Its totient is φ = 14274193489920.

The previous prime is 54631238918363. The next prime is 54631238918441. The reversal of 54631238918400 is 481983213645.

It is a happy number.

54631238918400 is a `hidden beast` number, since 5 + 463 + 1 + 23 + 89 + 1 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 7573993194 + ... + 7574000406.

It is an arithmetic number, because the mean of its divisors is an integer number (236553336180).

Almost surely, 2^{54631238918400} is an apocalyptic number.

54631238918400 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 54631238918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102191041229760).

54631238918400 is an abundant number, since it is smaller than the sum of its proper divisors (149750843541120).

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

54631238918400 is a wasteful number, since it uses less digits than its factorization.

54631238918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8128 (or 8103 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 54631238918400 in words is "fifty-four trillion, six hundred thirty-one billion, two hundred thirty-eight million, nine hundred eighteen thousand, four hundred".