115598672640 has 1152 divisors, whose sum is σ = 489963479040. Its totient is φ = 25480396800.

The previous prime is 115598672633. The next prime is 115598672659. The reversal of 115598672640 is 46276895511.

It is a happy number.

115598672640 is a `hidden beast` number, since 1 + 1 + 5 + 598 + 6 + 7 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×115598672640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200344032 + ... + 200344608.

It is an arithmetic number, because the mean of its divisors is an integer number (425315520).

Almost surely, 2^115598672640 is an apocalyptic number.

115598672640 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 115598672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244981739520).

115598672640 is an abundant number, since it is smaller than the sum of its proper divisors (374364806400).

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

115598672640 is a wasteful number, since it uses less digits than its factorization.

115598672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 115598672640 in words is "one hundred fifteen billion, five hundred ninety-eight million, six hundred seventy-two thousand, six hundred forty".