53368484400 has 720 divisors, whose sum is σ = 243079799040. Its totient is φ = 10504857600.

The previous prime is 53368484369. The next prime is 53368484413. The reversal of 53368484400 is 448486335.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5261734 + ... + 5271866.

It is an arithmetic number, because the mean of its divisors is an integer number (337610832).

Almost surely, 2^53368484400 is an apocalyptic number.

53368484400 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 53368484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121539899520).

53368484400 is an abundant number, since it is smaller than the sum of its proper divisors (189711314640).

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

53368484400 is a wasteful number, since it uses less digits than its factorization.

53368484400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10194 (or 10180 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 53368484400 in words is "fifty-three billion, three hundred sixty-eight million, four hundred eighty-four thousand, four hundred".