5297410800 has 960 divisors, whose sum is σ = 22650693120. Its totient is φ = 1161216000.

The previous prime is 5297410799. The next prime is 5297410837. The reversal of 5297410800 is 80147925.

It is a super-2 number, since 2×5297410800² = 56125122367913280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86842770 + ... + 86842830.

It is an arithmetic number, because the mean of its divisors is an integer number (23594472).

Almost surely, 2^5297410800 is an apocalyptic number.

5297410800 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 5297410800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11325346560).

5297410800 is an abundant number, since it is smaller than the sum of its proper divisors (17353282320).

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

5297410800 is a wasteful number, since it uses less digits than its factorization.

5297410800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5297410800 is about 72783.3140218278. The cubic root of 5297410800 is about 1743.2294364714.

The spelling of 5297410800 in words is "five billion, two hundred ninety-seven million, four hundred ten thousand, eight hundred".