116017780480 has 288 divisors, whose sum is σ = 329565075840. Its totient is φ = 38287441920.

The previous prime is 116017780471. The next prime is 116017780499. The reversal of 116017780480 is 84087710611.

116017780480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135376212 + ... + 135377068.

It is an arithmetic number, because the mean of its divisors is an integer number (1144323180).

Almost surely, 2^116017780480 is an apocalyptic number.

116017780480 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 116017780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164782537920).

116017780480 is an abundant number, since it is smaller than the sum of its proper divisors (213547295360).

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

116017780480 is an equidigital number, since it uses as much as digits as its factorization.

116017780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 43.

The spelling of 116017780480 in words is "one hundred sixteen billion, seventeen million, seven hundred eighty thousand, four hundred eighty".