54728737605360 has 2560 divisors, whose sum is σ = 246879772016640. Its totient is φ = 10835538739200.

The previous prime is 54728737605317. The next prime is 54728737605379. The reversal of 54728737605360 is 6350673782745.

54728737605360 is a `hidden beast` number, since 5 + 4 + 7 + 2 + 8 + 7 + 37 + 60 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 27133731072 + ... + 27133733088.

It is an arithmetic number, because the mean of its divisors is an integer number (96437410944).

Almost surely, 2^{54728737605360} 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 54728737605360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123439886008320).

54728737605360 is an abundant number, since it is smaller than the sum of its proper divisors (192151034411280).

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

54728737605360 is a wasteful number, since it uses less digits than its factorization.

54728737605360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 63.

The spelling of 54728737605360 in words is "fifty-four trillion, seven hundred twenty-eight billion, seven hundred thirty-seven million, six hundred five thousand, three hundred sixty".