53251430400 has 576 divisors, whose sum is σ = 223585689600. Its totient is φ = 12169543680.

The previous prime is 53251430389. The next prime is 53251430429. The reversal of 53251430400 is 403415235.

53251430400 is a `hidden beast` number, since 5 + 3 + 251 + 4 + 3 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9674049 + ... + 9679551.

It is an arithmetic number, because the mean of its divisors is an integer number (388169600).

Almost surely, 2^53251430400 is an apocalyptic number.

53251430400 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 53251430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111792844800).

53251430400 is an abundant number, since it is smaller than the sum of its proper divisors (170334259200).

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

53251430400 is a wasteful number, since it uses less digits than its factorization.

53251430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5551 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 53251430400 its reverse (403415235), we get a palindrome (53654845635).

The spelling of 53251430400 in words is "fifty-three billion, two hundred fifty-one million, four hundred thirty thousand, four hundred".