53308790400 has 768 divisors, whose sum is σ = 197357368320. Its totient is φ = 12582912000.

The previous prime is 53308790399. The next prime is 53308790449. The reversal of 53308790400 is 409780335.

It is a super-2 number, since 2×53308790400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207427072 + ... + 207427328.

It is an arithmetic number, because the mean of its divisors is an integer number (256975740).

Almost surely, 2^53308790400 is an apocalyptic number.

53308790400 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 53308790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98678684160).

53308790400 is an abundant number, since it is smaller than the sum of its proper divisors (144048577920).

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

53308790400 is a wasteful number, since it uses less digits than its factorization.

53308790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 53308790400 in words is "fifty-three billion, three hundred eight million, seven hundred ninety thousand, four hundred".