115853431680 has 1280 divisors, whose sum is σ = 498518064000. Its totient is φ = 25082265600.

The previous prime is 115853431637. The next prime is 115853431723. The reversal of 115853431680 is 86134358511.

115853431680 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 534 + 31 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (115853431637) and next prime (115853431723).

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 159 ways as a sum of consecutive naturals, for example, 1062875466 + ... + 1062875574.

Almost surely, 2^115853431680 is an apocalyptic number.

115853431680 is a gapful number since it is divisible by the number (10) 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 115853431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249259032000).

115853431680 is an abundant number, since it is smaller than the sum of its proper divisors (382664632320).

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

115853431680 is a wasteful number, since it uses less digits than its factorization.

115853431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 115853431680 in words is "one hundred fifteen billion, eight hundred fifty-three million, four hundred thirty-one thousand, six hundred eighty".