53553830400 has 1200 divisors, whose sum is σ = 232815027456. Its totient is φ = 11904122880.

The previous prime is 53553830387. The next prime is 53553830417. The reversal of 53553830400 is 403835535.

53553830400 is a `hidden beast` number, since 53 + 5 + 538 + 30 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 341107122 + ... + 341107278.

Almost surely, 2^53553830400 is an apocalyptic number.

53553830400 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 53553830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116407513728).

53553830400 is an abundant number, since it is smaller than the sum of its proper divisors (179261197056).

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

53553830400 is a wasteful number, since it uses less digits than its factorization.

53553830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 53553830400 in words is "fifty-three billion, five hundred fifty-three million, eight hundred thirty thousand, four hundred".