685510076160 has 2160 divisors, whose sum is σ = 3180531239424. Its totient is φ = 138346610688.

The previous prime is 685510076113. The next prime is 685510076191. The reversal of 685510076160 is 61670015586.

685510076160 is a `hidden beast` number, since 6 + 8 + 5 + 510 + 0 + 76 + 1 + 60 = 666.

685510076160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 29804785909 + ... + 29804785931.

Almost surely, 2^685510076160 is an apocalyptic number.

685510076160 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 685510076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590265619712).

685510076160 is an abundant number, since it is smaller than the sum of its proper divisors (2495021163264).

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

685510076160 is an frugal number, since it uses more digits than its factorization.

685510076160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 685510076160 in words is "six hundred eighty-five billion, five hundred ten million, seventy-six thousand, one hundred sixty".