53563982400 has 1344 divisors, whose sum is σ = 220603023360. Its totient is φ = 12590899200.

The previous prime is 53563982393. The next prime is 53563982401. The reversal of 53563982400 is 428936535.

53563982400 is a `hidden beast` number, since 5 + 3 + 5 + 639 + 8 + 2 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53563982401) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1139659177 + ... + 1139659223.

Almost surely, 2^53563982400 is an apocalyptic number.

53563982400 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 53563982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110301511680).

53563982400 is an abundant number, since it is smaller than the sum of its proper divisors (167039040960).

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

53563982400 is a wasteful number, since it uses less digits than its factorization.

53563982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 53563982400 in words is "fifty-three billion, five hundred sixty-three million, nine hundred eighty-two thousand, four hundred".