115429466880 has 1728 divisors, whose sum is σ = 539757281280. Its totient is φ = 22741254144.

The previous prime is 115429466849. The next prime is 115429466993. The reversal of 115429466880 is 88664924511.

115429466880 is a `hidden beast` number, since 1 + 1 + 542 + 94 + 6 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 908893377 + ... + 908893503.

Almost surely, 2^115429466880 is an apocalyptic number.

115429466880 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 115429466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269878640640).

115429466880 is an abundant number, since it is smaller than the sum of its proper divisors (424327814400).

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

115429466880 is a wasteful number, since it uses less digits than its factorization.

115429466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 115429466880 in words is "one hundred fifteen billion, four hundred twenty-nine million, four hundred sixty-six thousand, eight hundred eighty".