53532057600 has 840 divisors, whose sum is σ = 227128931568. Its totient is φ = 12209356800.

The previous prime is 53532057569. The next prime is 53532057611. The reversal of 53532057600 is 675023535.

53532057600 is a `hidden beast` number, since 53 + 5 + 32 + 0 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 116121370 + ... + 116121830.

Almost surely, 2^53532057600 is an apocalyptic number.

53532057600 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 53532057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113564465784).

53532057600 is an abundant number, since it is smaller than the sum of its proper divisors (173596873968).

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

53532057600 is an equidigital number, since it uses as much as digits as its factorization.

53532057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

The spelling of 53532057600 in words is "fifty-three billion, five hundred thirty-two million, fifty-seven thousand, six hundred".