52993496865024 has 864 divisors, whose sum is σ = 174085053690240. Its totient is φ = 15845059067904.

The previous prime is 52993496864981. The next prime is 52993496865059. The reversal of 52993496865024 is 42056869439925.

It is a happy number.

52993496865024 is a `hidden beast` number, since 5 + 2 + 9 + 9 + 3 + 496 + 86 + 50 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 19083000724 + ... + 19083003500.

It is an arithmetic number, because the mean of its divisors is an integer number (201487330660).

Almost surely, 2^{52993496865024} is an apocalyptic number.

52993496865024 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 52993496865024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87042526845120).

52993496865024 is an abundant number, since it is smaller than the sum of its proper divisors (121091556825216).

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

52993496865024 is a wasteful number, since it uses less digits than its factorization.

52993496865024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 1007769600, while the sum is 72.

The spelling of 52993496865024 in words is "fifty-two trillion, nine hundred ninety-three billion, four hundred ninety-six million, eight hundred sixty-five thousand, twenty-four".