5315610400 has 144 divisors (see below), whose sum is σ = 13223153664. Its totient is φ = 2086318080.

The previous prime is 5315610397. The next prime is 5315610401. The reversal of 5315610400 is 40165135.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5315610401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11480569 + ... + 11481031.

It is an arithmetic number, because the mean of its divisors is an integer number (91827456).

Almost surely, 2^5315610400 is an apocalyptic number.

5315610400 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 5315610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6611576832).

5315610400 is an abundant number, since it is smaller than the sum of its proper divisors (7907543264).

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

5315610400 is a wasteful number, since it uses less digits than its factorization.

5315610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 5315610400 is about 72908.2327312904. The cubic root of 5315610400 is about 1745.2234807633.

Adding to 5315610400 its reverse (40165135), we get a palindrome (5355775535).

The spelling of 5315610400 in words is "five billion, three hundred fifteen million, six hundred ten thousand, four hundred".