5815320000 has 840 divisors, whose sum is σ = 23881055616. Its totient is φ = 1241856000.

The previous prime is 5815319981. The next prime is 5815320019. The reversal of 5815320000 is 235185.

It is an interprime number because it is at equal distance from previous prime (5815319981) and next prime (5815320019).

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 135239979 + ... + 135240021.

Almost surely, 2^5815320000 is an apocalyptic number.

5815320000 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 5815320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11940527808).

5815320000 is an abundant number, since it is smaller than the sum of its proper divisors (18065735616).

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

5815320000 is a wasteful number, since it uses less digits than its factorization.

5815320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5815320000 is about 76258.2454558194. The cubic root of 5815320000 is about 1798.2823119986.

Adding to 5815320000 its reverse (235185), we get a palindrome (5815555185).

The spelling of 5815320000 in words is "five billion, eight hundred fifteen million, three hundred twenty thousand".