5815248120 has 256 divisors, whose sum is σ = 21663936000. Its totient is φ = 1375257600.

The previous prime is 5815248097. The next prime is 5815248143. The reversal of 5815248120 is 218425185.

5815248120 is a `hidden beast` number, since 5 + 8 + 1 + 524 + 8 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (5815248097) and next prime (5815248143).

It is a super-2 number, since 2×5815248120² = 67634221394327068800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 481111 + ... + 493049.

It is an arithmetic number, because the mean of its divisors is an integer number (84624750).

Almost surely, 2^5815248120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5815248120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10831968000).

5815248120 is an abundant number, since it is smaller than the sum of its proper divisors (15848687880).

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

5815248120 is a wasteful number, since it uses less digits than its factorization.

5815248120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12011 (or 12001 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5815248120 is about 76257.7741610650. The cubic root of 5815248120 is about 1798.2749027724.

The spelling of 5815248120 in words is "five billion, eight hundred fifteen million, two hundred forty-eight thousand, one hundred twenty".