5295998400 has 1008 divisors, whose sum is σ = 23266725120. Its totient is φ = 1040793600.

The previous prime is 5295998353. The next prime is 5295998401. The reversal of 5295998400 is 48995925.

5295998400 = 473² + 474² + ... + 2519².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5295998401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59505556 + ... + 59505644.

Almost surely, 2^5295998400 is an apocalyptic number.

5295998400 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 5295998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11633362560).

5295998400 is an abundant number, since it is smaller than the sum of its proper divisors (17970726720).

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

5295998400 is a wasteful number, since it uses less digits than its factorization.

5295998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The square root of 5295998400 is about 72773.6106016460. The cubic root of 5295998400 is about 1743.0744956144.

The spelling of 5295998400 in words is "five billion, two hundred ninety-five million, nine hundred ninety-eight thousand, four hundred".