52659984384 has 480 divisors, whose sum is σ = 181945764000. Its totient is φ = 14863564800.

The previous prime is 52659984379. The next prime is 52659984437. The reversal of 52659984384 is 48348995625.

52659984384 is a `hidden beast` number, since 5 + 2 + 6 + 599 + 8 + 4 + 38 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117282592 + ... + 117283040.

It is an arithmetic number, because the mean of its divisors is an integer number (379053675).

Almost surely, 2^52659984384 is an apocalyptic number.

52659984384 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 52659984384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90972882000).

52659984384 is an abundant number, since it is smaller than the sum of its proper divisors (129285779616).

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

52659984384 is a wasteful number, since it uses less digits than its factorization.

52659984384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 562 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 52659984384 in words is "fifty-two billion, six hundred fifty-nine million, nine hundred eighty-four thousand, three hundred eighty-four".