52962024960 has 1120 divisors, whose sum is σ = 214145981280. Its totient is φ = 12469469184.

The previous prime is 52962024959. The next prime is 52962024979. The reversal of 52962024960 is 6942026925.

52962024960 is a `hidden beast` number, since 52 + 96 + 20 + 2 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 897661411 + ... + 897661469.

It is an arithmetic number, because the mean of its divisors is an integer number (191201769).

Almost surely, 2^52962024960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52962024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107072990640).

52962024960 is an abundant number, since it is smaller than the sum of its proper divisors (161183956320).

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

52962024960 is an equidigital number, since it uses as much as digits as its factorization.

52962024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 52962024960 in words is "fifty-two billion, nine hundred sixty-two million, twenty-four thousand, nine hundred sixty".