116826716897280 has 2880 divisors, whose sum is σ = 480192691765248. Its totient is φ = 26968451973120.

The previous prime is 116826716897269. The next prime is 116826716897329. The reversal of 116826716897280 is 82798617628611.

It is a happy number.

116826716897280 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 267 + 1 + 6 + 89 + 7 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 = 116826716897199 and 116826716897208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 919895408577 + ... + 919895408703.

Almost surely, 2^{116826716897280} is an apocalyptic number.

116826716897280 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 116826716897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240096345882624).

116826716897280 is an abundant number, since it is smaller than the sum of its proper divisors (363365974867968).

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

116826716897280 is an equidigital number, since it uses as much as digits as its factorization.

116826716897280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 116826716897280 in words is "one hundred sixteen trillion, eight hundred twenty-six billion, seven hundred sixteen million, eight hundred ninety-seven thousand, two hundred eighty".