52832494400 has 504 divisors, whose sum is σ = 159839680320. Its totient is φ = 16830996480.

The previous prime is 52832494339. The next prime is 52832494433. The reversal of 52832494400 is 449423825.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 295153511 + ... + 295153689.

Almost surely, 2^52832494400 is an apocalyptic number.

52832494400 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 52832494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79919840160).

52832494400 is an abundant number, since it is smaller than the sum of its proper divisors (107007185920).

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

52832494400 is a wasteful number, since it uses less digits than its factorization.

52832494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 52832494400 in words is "fifty-two billion, eight hundred thirty-two million, four hundred ninety-four thousand, four hundred".