5815211940 has 240 divisors, whose sum is σ = 18820272240. Its totient is φ = 1502392320.

The previous prime is 5815211929. The next prime is 5815211951. The reversal of 5815211940 is 491125185.

5815211940 is a `hidden beast` number, since 5 + 81 + 521 + 19 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5815211929) and next prime (5815211951).

It can be written as a sum of positive squares in 8 ways, for example, as 1285652736 + 4529559204 = 35856^2 + 67302^2 .

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 = 5815211895 and 5815211904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7641160 + ... + 7641920.

It is an arithmetic number, because the mean of its divisors is an integer number (78417801).

Almost surely, 2^5815211940 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 5815211940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9410136120).

5815211940 is an abundant number, since it is smaller than the sum of its proper divisors (13005060300).

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

5815211940 is a wasteful number, since it uses less digits than its factorization.

5815211940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 5815211940 is about 76257.5369389807. The cubic root of 5815211940 is about 1798.2711733975.

The spelling of 5815211940 in words is "five billion, eight hundred fifteen million, two hundred eleven thousand, nine hundred forty".