115679731440 has 640 divisors, whose sum is σ = 463234351104. Its totient is φ = 23224320000.

The previous prime is 115679731439. The next prime is 115679731441. The reversal of 115679731440 is 44137976511.

It is an interprime number because it is at equal distance from previous prime (115679731439) and next prime (115679731441).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 115679731440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115679731441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41298040 + ... + 41300840.

Almost surely, 2^115679731440 is an apocalyptic number.

115679731440 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 115679731440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231617175552).

115679731440 is an abundant number, since it is smaller than the sum of its proper divisors (347554619664).

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

115679731440 is a wasteful number, since it uses less digits than its factorization.

115679731440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 115679731440 in words is "one hundred fifteen billion, six hundred seventy-nine million, seven hundred thirty-one thousand, four hundred forty".