5815031040 has 864 divisors, whose sum is σ = 26001642240. Its totient is φ = 1198374912.

The previous prime is 5815031029. The next prime is 5815031041. The reversal of 5815031040 is 401305185.

5815031040 is a `hidden beast` number, since 58 + 1 + 503 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5815030995 and 5815031013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5815031041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135233259 + ... + 135233301.

Almost surely, 2^5815031040 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 5815031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13000821120).

5815031040 is an abundant number, since it is smaller than the sum of its proper divisors (20186611200).

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

5815031040 is a wasteful number, since it uses less digits than its factorization.

5815031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5815031040 is about 76256.3508174893. The cubic root of 5815031040 is about 1798.2525262910.

The spelling of 5815031040 in words is "five billion, eight hundred fifteen million, thirty-one thousand, forty".