53537882112000 has 1728 divisors, whose sum is σ = 226855448426880. Its totient is φ = 11975786496000.

The previous prime is 53537882111921. The next prime is 53537882112089. The reversal of 53537882112000 is 21128873535.

53537882112000 is a `hidden beast` number, since 5 + 3 + 537 + 8 + 82 + 11 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21086206731 + ... + 21086209269.

It is an arithmetic number, because the mean of its divisors is an integer number (131282088210).

Almost surely, 2^{53537882112000} is an apocalyptic number.

53537882112000 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 53537882112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113427724213440).

53537882112000 is an abundant number, since it is smaller than the sum of its proper divisors (173317566314880).

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

53537882112000 is a wasteful number, since it uses less digits than its factorization.

53537882112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 53537882112000 in words is "fifty-three trillion, five hundred thirty-seven billion, eight hundred eighty-two million, one hundred twelve thousand".