115677434880 has 440 divisors, whose sum is σ = 473751915648. Its totient is φ = 26439892992.

The previous prime is 115677434861. The next prime is 115677434903. The reversal of 115677434880 is 88434776511.

115677434880 is a `hidden beast` number, since 1 + 1 + 56 + 77 + 43 + 488 + 0 = 666.

It is a super-2 number, since 2×115677434880² (a number of 23 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2883117 + ... + 2922963.

Almost surely, 2^115677434880 is an apocalyptic number.

115677434880 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 115677434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236875957824).

115677434880 is an abundant number, since it is smaller than the sum of its proper divisors (358074480768).

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

115677434880 is an equidigital number, since it uses as much as digits as its factorization.

115677434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39891 (or 39864 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

It can be divided in two parts, 11567 and 7434880, that added together give a palindrome (7446447).

The spelling of 115677434880 in words is "one hundred fifteen billion, six hundred seventy-seven million, four hundred thirty-four thousand, eight hundred eighty".