53318585664 has 252 divisors, whose sum is σ = 168373840544. Its totient is φ = 16725989376.

The previous prime is 53318585659. The next prime is 53318585711. The reversal of 53318585664 is 46658581335.

It is a happy number.

53318585664 is a `hidden beast` number, since 53 + 3 + 1 + 8 + 585 + 6 + 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 53318585664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4488597 + ... + 4500459.

Almost surely, 2^53318585664 is an apocalyptic number.

53318585664 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 53318585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84186920272).

53318585664 is an abundant number, since it is smaller than the sum of its proper divisors (115055254880).

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

53318585664 is a wasteful number, since it uses less digits than its factorization.

53318585664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11924 (or 11885 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 53318585664 in words is "fifty-three billion, three hundred eighteen million, five hundred eighty-five thousand, six hundred sixty-four".