115753207680 has 1536 divisors, whose sum is σ = 492283008000. Its totient is φ = 25603522560.

The previous prime is 115753207649. The next prime is 115753207693. The reversal of 115753207680 is 86702357511.

It is a happy number.

115753207680 is a `hidden beast` number, since 1 + 1 + 57 + 532 + 0 + 7 + 68 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 1394616919 + ... + 1394617001.

It is an arithmetic number, because the mean of its divisors is an integer number (320496750).

Almost surely, 2^115753207680 is an apocalyptic number.

115753207680 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 115753207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246141504000).

115753207680 is an abundant number, since it is smaller than the sum of its proper divisors (376529800320).

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

115753207680 is a wasteful number, since it uses less digits than its factorization.

115753207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 115753207680 in words is "one hundred fifteen billion, seven hundred fifty-three million, two hundred seven thousand, six hundred eighty".