5813519040 has 420 divisors, whose sum is σ = 23766725136. Its totient is φ = 1321380864.

The previous prime is 5813519029. The next prime is 5813519059. The reversal of 5813519040 is 409153185.

5813519040 is a `hidden beast` number, since 581 + 35 + 1 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a junction number, because it is equal to n+sod(n) for n = 5813518986 and 5813519004.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32477671 + ... + 32477849.

Almost surely, 2^5813519040 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 5813519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11883362568).

5813519040 is an abundant number, since it is smaller than the sum of its proper divisors (17953206096).

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

5813519040 is an equidigital number, since it uses as much as digits as its factorization.

5813519040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5813519040 is about 76246.4362445879. The cubic root of 5813519040 is about 1798.0966547521.

The spelling of 5813519040 in words is "five billion, eight hundred thirteen million, five hundred nineteen thousand, forty".