52023866400 has 432 divisors, whose sum is σ = 201000447648. Its totient is φ = 12556800000.

The previous prime is 52023866399. The next prime is 52023866407. The reversal of 52023866400 is 466832025.

52023866400 is a `hidden beast` number, since 5 + 2 + 0 + 2 + 3 + 8 + 6 + 640 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (52023866407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19877892 + ... + 19880508.

It is an arithmetic number, because the mean of its divisors is an integer number (465278814).

Almost surely, 2^52023866400 is an apocalyptic number.

52023866400 is a gapful number since it is divisible by the number (50) 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 52023866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100500223824).

52023866400 is an abundant number, since it is smaller than the sum of its proper divisors (148976581248).

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

52023866400 is a wasteful number, since it uses less digits than its factorization.

52023866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 52023866400 in words is "fifty-two billion, twenty-three million, eight hundred sixty-six thousand, four hundred".