864049915520 has 256 divisors, whose sum is σ = 2358897500160. Its totient is φ = 299776512000.

The previous prime is 864049915499. The next prime is 864049915529. The reversal of 864049915520 is 25519940468.

It is not an unprimeable number, because it can be changed into a prime (864049915529) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15467159 + ... + 15522921.

It is an arithmetic number, because the mean of its divisors is an integer number (9214443360).

Almost surely, 2^864049915520 is an apocalyptic number.

864049915520 is a gapful number since it is divisible by the number (80) 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 864049915520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179448750080).

864049915520 is an abundant number, since it is smaller than the sum of its proper divisors (1494847584640).

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

864049915520 is a wasteful number, since it uses less digits than its factorization.

864049915520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55895 (or 55883 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 53.

The spelling of 864049915520 in words is "eight hundred sixty-four billion, forty-nine million, nine hundred fifteen thousand, five hundred twenty".