53664871440 has 80 divisors (see below), whose sum is σ = 173594210688. Its totient is φ = 13688429568.

The previous prime is 53664871433. The next prime is 53664871441. The reversal of 53664871440 is 4417846635.

53664871440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 53664871440.

It is not an unprimeable number, because it can be changed into a prime (53664871441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4855429 + ... + 4866468.

Almost surely, 2^53664871440 is an apocalyptic number.

It is an amenable number.

53664871440 is an abundant number, since it is smaller than the sum of its proper divisors (119929339248).

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

53664871440 is a wasteful number, since it uses less digits than its factorization.

53664871440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9721936 (or 9721930 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 53664871440 in words is "fifty-three billion, six hundred sixty-four million, eight hundred seventy-one thousand, four hundred forty".