52986028032000 has 816 divisors, whose sum is σ = 218323081471872. Its totient is φ = 12110974156800.

The previous prime is 52986028031939. The next prime is 52986028032131. The reversal of 52986028032000 is 23082068925.

It is a happy number.

52986028032000 is a `hidden beast` number, since 5 + 2 + 9 + 8 + 602 + 8 + 0 + 32 + 0 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516044667 + ... + 516147333.

Almost surely, 2^{52986028032000} is an apocalyptic number.

52986028032000 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 52986028032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109161540735936).

52986028032000 is an abundant number, since it is smaller than the sum of its proper divisors (165337053439872).

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

52986028032000 is an equidigital number, since it uses as much as digits as its factorization.

52986028032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102727 (or 102684 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 52986028032000 in words is "fifty-two trillion, nine hundred eighty-six billion, twenty-eight million, thirty-two thousand".