53524534400 has 192 divisors, whose sum is σ = 138672988200. Its totient is φ = 20385792000.

The previous prime is 53524534367. The next prime is 53524534411. The reversal of 53524534400 is 443542535.

It can be written as a sum of positive squares in 12 ways, for example, as 7841456704 + 45683077696 = 88552^2 + 213736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6770450 + ... + 6778350.

Almost surely, 2^53524534400 is an apocalyptic number.

53524534400 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 53524534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69336494100).

53524534400 is an abundant number, since it is smaller than the sum of its proper divisors (85148453800).

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

53524534400 is a wasteful number, since it uses less digits than its factorization.

53524534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8027 (or 8010 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

The spelling of 53524534400 in words is "fifty-three billion, five hundred twenty-four million, five hundred thirty-four thousand, four hundred".