115701691680 has 384 divisors, whose sum is σ = 436678905600. Its totient is φ = 28516147200.

The previous prime is 115701691673. The next prime is 115701691789. The reversal of 115701691680 is 86196107511.

115701691680 is a `hidden beast` number, since 1 + 1 + 570 + 1 + 69 + 16 + 8 + 0 = 666.

It is a super-2 number, since 2×115701691680² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 3348090 + ... + 3382470.

It is an arithmetic number, because the mean of its divisors is an integer number (1137184650).

Almost surely, 2^115701691680 is an apocalyptic number.

115701691680 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 115701691680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218339452800).

115701691680 is an abundant number, since it is smaller than the sum of its proper divisors (320977213920).

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

115701691680 is a wasteful number, since it uses less digits than its factorization.

115701691680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34465 (or 34451 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 115701691680 in words is "one hundred fifteen billion, seven hundred one million, six hundred ninety-one thousand, six hundred eighty".