53554550400 has 576 divisors, whose sum is σ = 206903762520. Its totient is φ = 13111787520.

The previous prime is 53554550363. The next prime is 53554550411. The reversal of 53554550400 is 405545535.

53554550400 is a `hidden beast` number, since 53 + 5 + 54 + 550 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 459330624 + 53095219776 = 21432^2 + 230424^2 .

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

It is a super-2 number, since 2×53554550400² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117186972 + ... + 117187428.

Almost surely, 2^53554550400 is an apocalyptic number.

53554550400 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 53554550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103451881260).

53554550400 is an abundant number, since it is smaller than the sum of its proper divisors (153349212120).

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

53554550400 is a wasteful number, since it uses less digits than its factorization.

53554550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 36.

The spelling of 53554550400 in words is "fifty-three billion, five hundred fifty-four million, five hundred fifty thousand, four hundred".