52167437992800 has 432 divisors, whose sum is σ = 208532476348560. Its totient is φ = 12165361643520.

The previous prime is 52167437992777. The next prime is 52167437992801. The reversal of 52167437992800 is 829973476125.

52167437992800 is a `hidden beast` number, since 5 + 216 + 74 + 3 + 79 + 9 + 280 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52167437992801) 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, 12888559 + ... + 16445358.

It is a 1-persistent number, because it is pandigital, but 2⋅52167437992800 = 104334875985600 is not.

Almost surely, 2^{52167437992800} is an apocalyptic number.

52167437992800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52167437992800 is an abundant number, since it is smaller than the sum of its proper divisors (156365038355760).

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

52167437992800 is a wasteful number, since it uses less digits than its factorization.

52167437992800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29333975 (or 29333959 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 52167437992800 in words is "fifty-two trillion, one hundred sixty-seven billion, four hundred thirty-seven million, nine hundred ninety-two thousand, eight hundred".