115878487680 has 512 divisors, whose sum is σ = 432664416000. Its totient is φ = 29265739776.

The previous prime is 115878487603. The next prime is 115878487717. The reversal of 115878487680 is 86784878511.

115878487680 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 78 + 487 + 6 + 80 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26557179 + ... + 26561541.

Almost surely, 2^115878487680 is an apocalyptic number.

115878487680 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 115878487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216332208000).

115878487680 is an abundant number, since it is smaller than the sum of its proper divisors (316785928320).

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

115878487680 is a wasteful number, since it uses less digits than its factorization.

115878487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4455 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 63.

The spelling of 115878487680 in words is "one hundred fifteen billion, eight hundred seventy-eight million, four hundred eighty-seven thousand, six hundred eighty".