116796012480 has 560 divisors, whose sum is σ = 476780230080. Its totient is φ = 26585874432.

The previous prime is 116796012457. The next prime is 116796012481. The reversal of 116796012480 is 84210697611.

116796012480 is a `hidden beast` number, since 1 + 16 + 7 + 9 + 601 + 24 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116796012481) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 48806164 + ... + 48808556.

It is an arithmetic number, because the mean of its divisors is an integer number (851393268).

Almost surely, 2^116796012480 is an apocalyptic number.

116796012480 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 116796012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238390115040).

116796012480 is an abundant number, since it is smaller than the sum of its proper divisors (359984217600).

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

116796012480 is a wasteful number, since it uses less digits than its factorization.

116796012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 116796012480 in words is "one hundred sixteen billion, seven hundred ninety-six million, twelve thousand, four hundred eighty".