853659090720 has 240 divisors, whose sum is σ = 3143693488320. Its totient is φ = 217744851456.

The previous prime is 853659090707. The next prime is 853659090733. The reversal of 853659090720 is 27090956358.

It is an interprime number because it is at equal distance from previous prime (853659090707) and next prime (853659090733).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1133850 + ... + 1730009.

It is an arithmetic number, because the mean of its divisors is an integer number (13098722868).

Almost surely, 2^853659090720 is an apocalyptic number.

853659090720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

853659090720 is an abundant number, since it is smaller than the sum of its proper divisors (2290034397600).

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

853659090720 is a wasteful number, since it uses less digits than its factorization.

853659090720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863909 (or 2863892 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 853659090720 in words is "eight hundred fifty-three billion, six hundred fifty-nine million, ninety thousand, seven hundred twenty".