85683755888640 has 6656 divisors, whose sum is σ = 422734233600000. Its totient is φ = 16293439733760.

The previous prime is 85683755888573. The next prime is 85683755888657. The reversal of 85683755888640 is 4688855738658.

85683755888640 is a `hidden beast` number, since 8 + 5 + 68 + 375 + 58 + 88 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6656).

It is a self number, because there is not a number n which added to its sum of digits gives 85683755888640.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1452267048931 + ... + 1452267048989.

Almost surely, 2^{85683755888640} is an apocalyptic number.

85683755888640 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 85683755888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211367116800000).

85683755888640 is an abundant number, since it is smaller than the sum of its proper divisors (337050477711360).

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

85683755888640 is a wasteful number, since it uses less digits than its factorization.

85683755888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 12386304000, while the sum is 81.

The spelling of 85683755888640 in words is "eighty-five trillion, six hundred eighty-three billion, seven hundred fifty-five million, eight hundred eighty-eight thousand, six hundred forty".