115723520640 has 2304 divisors, whose sum is σ = 557686321920. Its totient is φ = 22359048192.

The previous prime is 115723520639. The next prime is 115723520651. The reversal of 115723520640 is 46025327511.

115723520640 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 2 + 3 + 5 + 2 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115723520595 and 115723520604.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3127662702 + ... + 3127662738.

It is an arithmetic number, because the mean of its divisors is an integer number (242051355).

Almost surely, 2^115723520640 is an apocalyptic number.

115723520640 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 115723520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278843160960).

115723520640 is an abundant number, since it is smaller than the sum of its proper divisors (441962801280).

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

115723520640 is a wasteful number, since it uses less digits than its factorization.

115723520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 115723520640 in words is "one hundred fifteen billion, seven hundred twenty-three million, five hundred twenty thousand, six hundred forty".