115800767008080 has 640 divisors, whose sum is σ = 448578877685760. Its totient is φ = 24007904133120.

The previous prime is 115800767008063. The next prime is 115800767008093. The reversal of 115800767008080 is 80800767008511.

It is a super-3 number, since 3×115800767008080³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35996506632 + ... + 35996509848.

It is an arithmetic number, because the mean of its divisors is an integer number (700904496384).

Almost surely, 2^{115800767008080} is an apocalyptic number.

115800767008080 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 115800767008080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224289438842880).

115800767008080 is an abundant number, since it is smaller than the sum of its proper divisors (332778110677680).

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

115800767008080 is a wasteful number, since it uses less digits than its factorization.

115800767008080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7067 (or 7061 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 51.

The spelling of 115800767008080 in words is "one hundred fifteen trillion, eight hundred billion, seven hundred sixty-seven million, eight thousand, eighty".