52891182489600 has 4704 divisors, whose sum is σ = 257391174035520. Its totient is φ = 10457154846720.

The previous prime is 52891182489553. The next prime is 52891182489667. The reversal of 52891182489600 is 698428119825.

52891182489600 is a `hidden beast` number, since 5 + 2 + 8 + 9 + 1 + 18 + 2 + 4 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 230965862286 + ... + 230965862514.

Almost surely, 2^{52891182489600} is an apocalyptic number.

52891182489600 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 52891182489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128695587017760).

52891182489600 is an abundant number, since it is smaller than the sum of its proper divisors (204499991545920).

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

52891182489600 is a wasteful number, since it uses less digits than its factorization.

52891182489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 52891182489600 in words is "fifty-two trillion, eight hundred ninety-one billion, one hundred eighty-two million, four hundred eighty-nine thousand, six hundred".