115177870080 has 1152 divisors, whose sum is σ = 513274890240. Its totient is φ = 23808245760.

The previous prime is 115177870069. The next prime is 115177870081. The reversal of 115177870080 is 80078771511.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (115177870081) 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, 166682535 + ... + 166683225.

It is an arithmetic number, because the mean of its divisors is an integer number (445551120).

Almost surely, 2^115177870080 is an apocalyptic number.

115177870080 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 115177870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256637445120).

115177870080 is an abundant number, since it is smaller than the sum of its proper divisors (398097020160).

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

115177870080 is a wasteful number, since it uses less digits than its factorization.

115177870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 45.

The spelling of 115177870080 in words is "one hundred fifteen billion, one hundred seventy-seven million, eight hundred seventy thousand, eighty".