54620075520 has 800 divisors, whose sum is σ = 209619083520. Its totient is φ = 13563002880.

The previous prime is 54620075507. The next prime is 54620075567. The reversal of 54620075520 is 2557002645.

54620075520 is a `hidden beast` number, since 5 + 4 + 62 + 0 + 0 + 75 + 520 = 666.

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 79 ways as a sum of consecutive naturals, for example, 186416494 + ... + 186416786.

Almost surely, 2^54620075520 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 54620075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104809541760).

54620075520 is an abundant number, since it is smaller than the sum of its proper divisors (154999008000).

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

54620075520 is a wasteful number, since it uses less digits than its factorization.

54620075520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 54620075520 in words is "fifty-four billion, six hundred twenty million, seventy-five thousand, five hundred twenty".