52991931456000 has 1120 divisors, whose sum is σ = 208548130190400. Its totient is φ = 13387211366400.

The previous prime is 52991931455959. The next prime is 52991931456029. The reversal of 52991931456000 is 65413919925.

52991931456000 is a `hidden beast` number, since 5 + 2 + 9 + 9 + 19 + 3 + 14 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 886434111 + ... + 886493889.

It is an arithmetic number, because the mean of its divisors is an integer number (186203687670).

Almost surely, 2^{52991931456000} is an apocalyptic number.

52991931456000 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 52991931456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104274065095200).

52991931456000 is an abundant number, since it is smaller than the sum of its proper divisors (155556198734400).

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

52991931456000 is an frugal number, since it uses more digits than its factorization.

52991931456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59849 (or 59808 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 52991931456000 in words is "fifty-two trillion, nine hundred ninety-one billion, nine hundred thirty-one million, four hundred fifty-six thousand".