85759798904640 has 560 divisors, whose sum is σ = 366992727024000. Its totient is φ = 18570542174208.

The previous prime is 85759798904629. The next prime is 85759798904671. The reversal of 85759798904640 is 4640989795758.

85759798904640 is a `hidden beast` number, since 8 + 5 + 7 + 5 + 9 + 79 + 89 + 0 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 85759798904640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8991115 + ... + 15885834.

It is an arithmetic number, because the mean of its divisors is an integer number (655344155400).

Almost surely, 2^{85759798904640} is an apocalyptic number.

85759798904640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85759798904640 is an abundant number, since it is smaller than the sum of its proper divisors (281232928119360).

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

85759798904640 is a wasteful number, since it uses less digits than its factorization.

85759798904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24877004 (or 24876985 counting only the distinct ones).

The product of its (nonzero) digits is 5486745600, while the sum is 81.

The spelling of 85759798904640 in words is "eighty-five trillion, seven hundred fifty-nine billion, seven hundred ninety-eight million, nine hundred four thousand, six hundred forty".