52991532547200 has 1344 divisors, whose sum is σ = 222493234521600. Its totient is φ = 12357405204480.

The previous prime is 52991532547199. The next prime is 52991532547201. The reversal of 52991532547200 is 274523519925.

52991532547200 is a `hidden beast` number, since 5 + 2 + 9 + 91 + 5 + 3 + 2 + 547 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52991532547199) and next prime (52991532547201).

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 (52991532547201) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 576155617 + ... + 576247583.

It is an arithmetic number, because the mean of its divisors is an integer number (165545561400).

Almost surely, 2^{52991532547200} is an apocalyptic number.

52991532547200 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 52991532547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111246617260800).

52991532547200 is an abundant number, since it is smaller than the sum of its proper divisors (169501701974400).

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

52991532547200 is a wasteful number, since it uses less digits than its factorization.

52991532547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92041 (or 92009 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 52991532547200 in words is "fifty-two trillion, nine hundred ninety-one billion, five hundred thirty-two million, five hundred forty-seven thousand, two hundred".