54507136320 has 672 divisors, whose sum is σ = 238225827840. Its totient is φ = 11127767040.

The previous prime is 54507136291. The next prime is 54507136337. The reversal of 54507136320 is 2363170545.

54507136320 is a `hidden beast` number, since 5 + 4 + 5 + 0 + 7 + 13 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 8121126 + ... + 8127834.

It is an arithmetic number, because the mean of its divisors is an integer number (354502720).

Almost surely, 2^54507136320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54507136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119112913920).

54507136320 is an abundant number, since it is smaller than the sum of its proper divisors (183718691520).

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

54507136320 is a wasteful number, since it uses less digits than its factorization.

54507136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6783 (or 6770 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 54507136320 in words is "fifty-four billion, five hundred seven million, one hundred thirty-six thousand, three hundred twenty".