55728718536960 has 2304 divisors, whose sum is σ = 239014018252800. Its totient is φ = 12030123442176.

The previous prime is 55728718536943. The next prime is 55728718536989. The reversal of 55728718536960 is 6963581782755.

55728718536960 is a `hidden beast` number, since 5 + 5 + 7 + 2 + 87 + 1 + 8 + 536 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 58477143844 + ... + 58477144796.

It is an arithmetic number, because the mean of its divisors is an integer number (103738723200).

Almost surely, 2^{55728718536960} 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 55728718536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119507009126400).

55728718536960 is an abundant number, since it is smaller than the sum of its proper divisors (183285299715840).

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

55728718536960 is a wasteful number, since it uses less digits than its factorization.

55728718536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 72.

The spelling of 55728718536960 in words is "fifty-five trillion, seven hundred twenty-eight billion, seven hundred eighteen million, five hundred thirty-six thousand, nine hundred sixty".