52416263520 has 144 divisors (see below), whose sum is σ = 178942366512. Its totient is φ = 13972055040.

The previous prime is 52416263477. The next prime is 52416263533. The reversal of 52416263520 is 2536261425.

52416263520 is a `hidden beast` number, since 5 + 2 + 4 + 1 + 626 + 3 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 4574919 + ... + 4586361.

It is an arithmetic number, because the mean of its divisors is an integer number (1242655323).

Almost surely, 2^52416263520 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 52416263520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89471183256).

52416263520 is an abundant number, since it is smaller than the sum of its proper divisors (126526102992).

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

52416263520 is a wasteful number, since it uses less digits than its factorization.

52416263520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14645 (or 14634 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 52416263520 in words is "fifty-two billion, four hundred sixteen million, two hundred sixty-three thousand, five hundred twenty".