116915581440 has 480 divisors, whose sum is σ = 479913033600. Its totient is φ = 26722566144.

The previous prime is 116915581373. The next prime is 116915581457. The reversal of 116915581440 is 44185519611.

116915581440 is a `hidden beast` number, since 1 + 1 + 6 + 91 + 558 + 1 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4341136 + ... + 4367984.

It is an arithmetic number, because the mean of its divisors is an integer number (999818820).

Almost surely, 2^116915581440 is an apocalyptic number.

116915581440 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 116915581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239956516800).

116915581440 is an abundant number, since it is smaller than the sum of its proper divisors (362997452160).

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

116915581440 is an frugal number, since it uses more digits than its factorization.

116915581440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26894 (or 26866 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 116915581440 in words is "one hundred sixteen billion, nine hundred fifteen million, five hundred eighty-one thousand, four hundred forty".