53660514507264 has 1600 divisors, whose sum is σ = 200781809141760. Its totient is φ = 13935706767360.

The previous prime is 53660514507253. The next prime is 53660514507277. The reversal of 53660514507264 is 46270541506635.

53660514507264 is a `hidden beast` number, since 5 + 3 + 6 + 6 + 0 + 514 + 50 + 72 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 53660514507264.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9656379174 + ... + 9656384730.

Almost surely, 2^{53660514507264} is an apocalyptic number.

53660514507264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53660514507264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100390904570880).

53660514507264 is an abundant number, since it is smaller than the sum of its proper divisors (147121294634496).

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

53660514507264 is a wasteful number, since it uses less digits than its factorization.

53660514507264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5691 (or 5666 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 53660514507264 in words is "fifty-three trillion, six hundred sixty billion, five hundred fourteen million, five hundred seven thousand, two hundred sixty-four".