53907552400 has 405 divisors, whose sum is σ = 151227583371. Its totient is φ = 18455523840.

The previous prime is 53907552397. The next prime is 53907552403. The reversal of 53907552400 is 425570935.

The square root of 53907552400 is 232180.

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

It is an interprime number because it is at equal distance from previous prime (53907552397) and next prime (53907552403).

It can be written as a sum of positive squares in 4 ways, for example, as 13894751376 + 40012801024 = 117876^2 + 200032^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53907552403) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1146969177 + ... + 1146969223.

Almost surely, 2^53907552400 is an apocalyptic number.

53907552400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53907552400 is the 232180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53907552400

53907552400 is an abundant number, since it is smaller than the sum of its proper divisors (97320030971).

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

53907552400 is a wasteful number, since it uses less digits than its factorization.

53907552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 40.

The spelling of 53907552400 in words is "fifty-three billion, nine hundred seven million, five hundred fifty-two thousand, four hundred".