116189071626240 has 416 divisors, whose sum is σ = 418166014608000. Its totient is φ = 30983740489728.

The previous prime is 116189071626157. The next prime is 116189071626317. The reversal of 116189071626240 is 42626170981611.

116189071626240 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 8 + 9 + 0 + 7 + 1 + 6 + 2 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43492711 + ... + 46086809.

Almost surely, 2^{116189071626240} is an apocalyptic number.

116189071626240 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 116189071626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209083007304000).

116189071626240 is an abundant number, since it is smaller than the sum of its proper divisors (301976942981760).

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

116189071626240 is an frugal number, since it uses more digits than its factorization.

116189071626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594149 (or 2594109 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 116189071626240 in words is "one hundred sixteen trillion, one hundred eighty-nine billion, seventy-one million, six hundred twenty-six thousand, two hundred forty".