52642152000 has 168 divisors, whose sum is σ = 188310008952. Its totient is φ = 14037888000.

The previous prime is 52642151983. The next prime is 52642152019. The reversal of 52642152000 is 25124625.

52642152000 is a `hidden beast` number, since 5 + 2 + 642 + 15 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11601874944 + 41040277056 = 107712^2 + 202584^2 .

It is a super-2 number, since 2×52642152000² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293571 + ... + 437570.

Almost surely, 2^52642152000 is an apocalyptic number.

52642152000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52642152000 is an abundant number, since it is smaller than the sum of its proper divisors (135667856952).

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

52642152000 is a wasteful number, since it uses less digits than its factorization.

52642152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731174 (or 731151 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 52642152000 its reverse (25124625), we get a palindrome (52667276625).

The spelling of 52642152000 in words is "fifty-two billion, six hundred forty-two million, one hundred fifty-two thousand".