5295854400 has 168 divisors, whose sum is σ = 17845003680. Its totient is φ = 1374013440.

The previous prime is 5295854387. The next prime is 5295854411. The reversal of 5295854400 is 44585925.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162691 + ... + 192509.

It is an arithmetic number, because the mean of its divisors is an integer number (106220260).

Almost surely, 2^5295854400 is an apocalyptic number.

5295854400 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 5295854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8922501840).

5295854400 is an abundant number, since it is smaller than the sum of its proper divisors (12549149280).

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

5295854400 is a wasteful number, since it uses less digits than its factorization.

5295854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29881 (or 29866 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 5295854400 is about 72772.6212252932. The cubic root of 5295854400 is about 1743.0586972082.

The spelling of 5295854400 in words is "five billion, two hundred ninety-five million, eight hundred fifty-four thousand, four hundred".