23085677160 has 960 divisors, whose sum is σ = 101397225600. Its totient is φ = 4599908352.

The previous prime is 23085677149. The next prime is 23085677203. The reversal of 23085677160 is 6177658032.

23085677160 is a `hidden beast` number, since 23 + 0 + 8 + 567 + 7 + 1 + 60 = 666.

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

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, 72825322 + ... + 72825638.

It is an arithmetic number, because the mean of its divisors is an integer number (105622110).

Almost surely, 2^23085677160 is an apocalyptic number.

23085677160 is a gapful number since it is divisible by the number (20) 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 23085677160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50698612800).

23085677160 is an abundant number, since it is smaller than the sum of its proper divisors (78311548440).

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

23085677160 is a wasteful number, since it uses less digits than its factorization.

23085677160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 23085677160 in words is "twenty-three billion, eighty-five million, six hundred seventy-seven thousand, one hundred sixty".