5815915600 has 240 divisors, whose sum is σ = 15816737664. Its totient is φ = 2036736000.

The previous prime is 5815915579. The next prime is 5815915601. The reversal of 5815915600 is 65195185.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5815915601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18581044 + ... + 18581356.

Almost surely, 2^5815915600 is an apocalyptic number.

5815915600 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 5815915600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7908368832).

5815915600 is an abundant number, since it is smaller than the sum of its proper divisors (10000822064).

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

5815915600 is a wasteful number, since it uses less digits than its factorization.

5815915600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 40.

The square root of 5815915600 is about 76262.1505073126. The cubic root of 5815915600 is about 1798.3437027379.

The spelling of 5815915600 in words is "five billion, eight hundred fifteen million, nine hundred fifteen thousand, six hundred".