115707271680 has 1920 divisors, whose sum is σ = 559809169920. Its totient is φ = 21304442880.

The previous prime is 115707271639. The next prime is 115707271699. The reversal of 115707271680 is 86172707511.

115707271680 is a `hidden beast` number, since 1 + 1 + 570 + 7 + 2 + 71 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 668828074 + ... + 668828246.

It is an arithmetic number, because the mean of its divisors is an integer number (291567276).

Almost surely, 2^115707271680 is an apocalyptic number.

115707271680 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 115707271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279904584960).

115707271680 is an abundant number, since it is smaller than the sum of its proper divisors (444101898240).

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

115707271680 is a wasteful number, since it uses less digits than its factorization.

115707271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 45.

The spelling of 115707271680 in words is "one hundred fifteen billion, seven hundred seven million, two hundred seventy-one thousand, six hundred eighty".