53555216400 has 1215 divisors, whose sum is σ = 236311428951. Its totient is φ = 11197025280.

The previous prime is 53555216389. The next prime is 53555216411. The reversal of 53555216400 is 461255535.

The square root of 53555216400 is 231420.

It is a perfect power (a square), and thus also a powerful number.

53555216400 is a `hidden beast` number, since 5 + 3 + 5 + 5 + 5 + 2 + 1 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53555216389) and next prime (53555216411).

It can be written as a sum of positive squares in 4 ways, for example, as 736145424 + 52819070976 = 27132^2 + 229824^2 .

It is a super-2 number, since 2×53555216400² (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 an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1846731586 + ... + 1846731614.

Almost surely, 2^53555216400 is an apocalyptic number.

53555216400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53555216400 is the 231420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53555216400

53555216400 is an abundant number, since it is smaller than the sum of its proper divisors (182756212551).

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

53555216400 is a wasteful number, since it uses less digits than its factorization.

53555216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Multiplying 53555216400 by its sum of digits (36), we get a square (1927987790400 = 1388520²).

53555216400 divided by its sum of digits (36) gives a square (1487644900 = 38570²).

The spelling of 53555216400 in words is "fifty-three billion, five hundred fifty-five million, two hundred sixteen thousand, four hundred".