53665964720928 has 1152 divisors, whose sum is σ = 187986839040000. Its totient is φ = 14199070556160.

The previous prime is 53665964720857. The next prime is 53665964720933. The reversal of 53665964720928 is 82902746956635.

53665964720928 is a `hidden beast` number, since 5 + 3 + 6 + 6 + 596 + 4 + 7 + 2 + 0 + 9 + 28 = 666.

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 191 ways as a sum of consecutive naturals, for example, 37554908118 + ... + 37554909546.

It is an arithmetic number, because the mean of its divisors is an integer number (163183020000).

Almost surely, 2^{53665964720928} 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 53665964720928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93993419520000).

53665964720928 is an abundant number, since it is smaller than the sum of its proper divisors (134320874319072).

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

53665964720928 is a wasteful number, since it uses less digits than its factorization.

53665964720928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 53665964720928 in words is "fifty-three trillion, six hundred sixty-five billion, nine hundred sixty-four million, seven hundred twenty thousand, nine hundred twenty-eight".