52953868800 has 1440 divisors, whose sum is σ = 234270273600. Its totient is φ = 11674091520.

The previous prime is 52953868787. The next prime is 52953868801. The reversal of 52953868800 is 886835925.

52953868800 is a `hidden beast` number, since 5 + 29 + 538 + 6 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×52953868800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (52953868801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 897523171 + ... + 897523229.

It is an arithmetic number, because the mean of its divisors is an integer number (162687690).

Almost surely, 2^52953868800 is an apocalyptic number.

52953868800 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 52953868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117135136800).

52953868800 is an abundant number, since it is smaller than the sum of its proper divisors (181316404800).

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

52953868800 is a wasteful number, since it uses less digits than its factorization.

52953868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 52953868800 in words is "fifty-two billion, nine hundred fifty-three million, eight hundred sixty-eight thousand, eight hundred".