5615350400 has 192 divisors, whose sum is σ = 15365043360. Its totient is φ = 2010624000.

The previous prime is 5615350381. The next prime is 5615350423. The reversal of 5615350400 is 40535165.

It is a super-2 number, since 2×5615350400² = 63064320229560320000, which contains 22 as substring.

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, 2357210 + ... + 2359590.

Almost surely, 2^5615350400 is an apocalyptic number.

5615350400 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 5615350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7682521680).

5615350400 is an abundant number, since it is smaller than the sum of its proper divisors (9749692960).

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

5615350400 is a wasteful number, since it uses less digits than its factorization.

5615350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 5615350400 is about 74935.6417200787. The cubic root of 5615350400 is about 1777.4291043047.

Adding to 5615350400 its reverse (40535165), we get a palindrome (5655885565).

The spelling of 5615350400 in words is "five billion, six hundred fifteen million, three hundred fifty thousand, four hundred".