686059133760 has 672 divisors, whose sum is σ = 3168359131392. Its totient is φ = 131591208960.

The previous prime is 686059133743. The next prime is 686059133821. The reversal of 686059133760 is 67331950686.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 686059133697 and 686059133706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2763892 + ... + 3001868.

It is an arithmetic number, because the mean of its divisors is an integer number (4714820136).

Almost surely, 2^686059133760 is an apocalyptic number.

686059133760 is a gapful number since it is divisible by the number (60) 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 686059133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584179565696).

686059133760 is an abundant number, since it is smaller than the sum of its proper divisors (2482299997632).

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

686059133760 is a wasteful number, since it uses less digits than its factorization.

686059133760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238031 (or 238018 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 686059133760 in words is "six hundred eighty-six billion, fifty-nine million, one hundred thirty-three thousand, seven hundred sixty".