53192538000 has 600 divisors, whose sum is σ = 223537784184. Its totient is φ = 12156480000.

The previous prime is 53192537999. The next prime is 53192538023. The reversal of 53192538000 is 83529135.

53192538000 is a `hidden beast` number, since 5 + 31 + 92 + 538 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3566956176 + 49625581824 = 59724^2 + 222768^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7934650 + ... + 7941350.

Almost surely, 2^53192538000 is an apocalyptic number.

53192538000 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 53192538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111768892092).

53192538000 is an abundant number, since it is smaller than the sum of its proper divisors (170345246184).

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

53192538000 is a wasteful number, since it uses less digits than its factorization.

53192538000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6750 (or 6718 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 53192538000 in words is "fifty-three billion, one hundred ninety-two million, five hundred thirty-eight thousand".