52531210800 has 240 divisors, whose sum is σ = 187218329760. Its totient is φ = 13989888000.

The previous prime is 52531210783. The next prime is 52531210817. The reversal of 52531210800 is 801213525.

It is a happy number.

52531210800 is a `hidden beast` number, since 52 + 531 + 2 + 1 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52531210783) and next prime (52531210817).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×52531210800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9512040 + ... + 9517560.

It is an arithmetic number, because the mean of its divisors is an integer number (780076374).

Almost surely, 2^52531210800 is an apocalyptic number.

52531210800 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 52531210800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93609164880).

52531210800 is an abundant number, since it is smaller than the sum of its proper divisors (134687118960).

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

52531210800 is a wasteful number, since it uses less digits than its factorization.

52531210800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6429 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 52531210800 in words is "fifty-two billion, five hundred thirty-one million, two hundred ten thousand, eight hundred".