115408172880 has 960 divisors, whose sum is σ = 531613974528. Its totient is φ = 21658890240.

The previous prime is 115408172863. The next prime is 115408172899. The reversal of 115408172880 is 88271804511.

115408172880 is a `hidden beast` number, since 1 + 1 + 540 + 8 + 1 + 7 + 28 + 80 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 33872137 + ... + 33875543.

Almost surely, 2^115408172880 is an apocalyptic number.

115408172880 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 115408172880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265806987264).

115408172880 is an abundant number, since it is smaller than the sum of its proper divisors (416205801648).

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

115408172880 is a wasteful number, since it uses less digits than its factorization.

115408172880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

It can be divided in two parts, 1154081 and 72880, that added together give a triangular number (1226961 = T₁₅₆₆).

The spelling of 115408172880 in words is "one hundred fifteen billion, four hundred eight million, one hundred seventy-two thousand, eight hundred eighty".