116520344640 has 448 divisors, whose sum is σ = 497418969600. Its totient is φ = 25066340352.

The previous prime is 116520344639. The next prime is 116520344663. The reversal of 116520344640 is 46443025611.

116520344640 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 2 + 0 + 3 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116520344595 and 116520344604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 971496 + ... + 1084824.

It is an arithmetic number, because the mean of its divisors is an integer number (1110310200).

Almost surely, 2^116520344640 is an apocalyptic number.

116520344640 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 116520344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248709484800).

116520344640 is an abundant number, since it is smaller than the sum of its proper divisors (380898624960).

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

116520344640 is a wasteful number, since it uses less digits than its factorization.

116520344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113379 (or 113363 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 116520344640 in words is "one hundred sixteen billion, five hundred twenty million, three hundred forty-four thousand, six hundred forty".