52872968548800 has 336 divisors, whose sum is σ = 192925456668000. Its totient is φ = 14086005350400.

The previous prime is 52872968548781. The next prime is 52872968548819. The reversal of 52872968548800 is 884586927825.

It is a happy number.

52872968548800 is a `hidden beast` number, since 5 + 2 + 8 + 72 + 9 + 6 + 8 + 548 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52872968548781) and next prime (52872968548819).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 44733430 + ... + 45900170.

It is an arithmetic number, because the mean of its divisors is an integer number (574182906750).

Almost surely, 2^{52872968548800} is an apocalyptic number.

52872968548800 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 52872968548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96462728334000).

52872968548800 is an abundant number, since it is smaller than the sum of its proper divisors (140052488119200).

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

52872968548800 is a wasteful number, since it uses less digits than its factorization.

52872968548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167821 (or 1167800 counting only the distinct ones).

The product of its (nonzero) digits is 619315200, while the sum is 72.

The spelling of 52872968548800 in words is "fifty-two trillion, eight hundred seventy-two billion, nine hundred sixty-eight million, five hundred forty-eight thousand, eight hundred".