5726516400 has 960 divisors, whose sum is σ = 24355584000. Its totient is φ = 1262822400.

The previous prime is 5726516399. The next prime is 5726516401. The reversal of 5726516400 is 46156275.

It is a happy number.

5726516400 is a `hidden beast` number, since 5 + 7 + 2 + 6 + 5 + 1 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5726516399) and next prime (5726516401).

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

It is not an unprimeable number, because it can be changed into a prime (5726516401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97059571 + ... + 97059629.

It is an arithmetic number, because the mean of its divisors is an integer number (25370400).

Almost surely, 2^5726516400 is an apocalyptic number.

5726516400 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 5726516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12177792000).

5726516400 is an abundant number, since it is smaller than the sum of its proper divisors (18629067600).

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

5726516400 is a wasteful number, since it uses less digits than its factorization.

5726516400 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 50400, while the sum is 36.

The square root of 5726516400 is about 75673.7497419019. The cubic root of 5726516400 is about 1789.0816841164.

The spelling of 5726516400 in words is "five billion, seven hundred twenty-six million, five hundred sixteen thousand, four hundred".