115703710093920 has 768 divisors, whose sum is σ = 434135453552640. Its totient is φ = 25612004622336.

The previous prime is 115703710093919. The next prime is 115703710093931. The reversal of 115703710093920 is 29390017307511.

It is a happy number.

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 115703710093920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2266585837 + ... + 2266636883.

It is an arithmetic number, because the mean of its divisors is an integer number (565280538480).

Almost surely, 2^{115703710093920} is an apocalyptic number.

115703710093920 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 115703710093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217067726776320).

115703710093920 is an abundant number, since it is smaller than the sum of its proper divisors (318431743458720).

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

115703710093920 is a wasteful number, since it uses less digits than its factorization.

115703710093920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52047 (or 52039 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 48.

The spelling of 115703710093920 in words is "one hundred fifteen trillion, seven hundred three billion, seven hundred ten million, ninety-three thousand, nine hundred twenty".