116759153280 has 1024 divisors, whose sum is σ = 479952138240. Its totient is φ = 23640883200.

The previous prime is 116759153237. The next prime is 116759153297. The reversal of 116759153280 is 82351957611.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 1091206987 + ... + 1091207093.

It is an arithmetic number, because the mean of its divisors is an integer number (468703260).

Almost surely, 2^116759153280 is an apocalyptic number.

116759153280 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 116759153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239976069120).

116759153280 is an abundant number, since it is smaller than the sum of its proper divisors (363192984960).

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

116759153280 is a wasteful number, since it uses less digits than its factorization.

116759153280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 116759153280 in words is "one hundred sixteen billion, seven hundred fifty-nine million, one hundred fifty-three thousand, two hundred eighty".