53375538902400 has 2880 divisors, whose sum is σ = 244283648439600. Its totient is φ = 11312698982400.

The previous prime is 53375538902359. The next prime is 53375538902437. The reversal of 53375538902400 is 420983557335.

53375538902400 is a `hidden beast` number, since 5 + 3 + 3 + 7 + 553 + 89 + 0 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 13380679606 + ... + 13380683594.

Almost surely, 2^{53375538902400} is an apocalyptic number.

53375538902400 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 53375538902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122141824219800).

53375538902400 is an abundant number, since it is smaller than the sum of its proper divisors (190908109537200).

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

53375538902400 is a wasteful number, since it uses less digits than its factorization.

53375538902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 53375538902400 in words is "fifty-three trillion, three hundred seventy-five billion, five hundred thirty-eight million, nine hundred two thousand, four hundred".