115944584474880 has 1152 divisors, whose sum is σ = 483545855385600. Its totient is φ = 25752392073216.

The previous prime is 115944584474801. The next prime is 115944584474921. The reversal of 115944584474880 is 88474485449511.

115944584474880 is a `hidden beast` number, since 1 + 1 + 5 + 94 + 4 + 58 + 4 + 4 + 7 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 115944584474799 and 115944584474808.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7366698051 + ... + 7366713789.

Almost surely, 2^{115944584474880} is an apocalyptic number.

115944584474880 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 115944584474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241772927692800).

115944584474880 is an abundant number, since it is smaller than the sum of its proper divisors (367601270910720).

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

115944584474880 is a wasteful number, since it uses less digits than its factorization.

115944584474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16636 (or 16616 counting only the distinct ones).

The product of its (nonzero) digits is 825753600, while the sum is 72.

The spelling of 115944584474880 in words is "one hundred fifteen trillion, nine hundred forty-four billion, five hundred eighty-four million, four hundred seventy-four thousand, eight hundred eighty".