115211496960 has 2400 divisors, whose sum is σ = 548645866560. Its totient is φ = 22889889792.

The previous prime is 115211496919. The next prime is 115211496979. The reversal of 115211496960 is 69694112511.

115211496960 is a `hidden beast` number, since 1 + 1 + 521 + 1 + 4 + 9 + 69 + 60 = 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 (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3972810226 + ... + 3972810254.

Almost surely, 2^115211496960 is an apocalyptic number.

115211496960 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 115211496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274322933280).

115211496960 is an abundant number, since it is smaller than the sum of its proper divisors (433434369600).

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

115211496960 is a wasteful number, since it uses less digits than its factorization.

115211496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

It can be divided in two parts, 115211 and 496960, that added together give a triangular number (612171 = T₁₁₀₆).

The spelling of 115211496960 in words is "one hundred fifteen billion, two hundred eleven million, four hundred ninety-six thousand, nine hundred sixty".