116749720442880 has 576 divisors, whose sum is σ = 463507441750080. Its totient is φ = 26623957008384.

The previous prime is 116749720442837. The next prime is 116749720442881. The reversal of 116749720442880 is 88244027947611.

116749720442880 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 4 + 97 + 20 + 442 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×116749720442880³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116749720442881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279127984 + ... + 279545936.

It is an arithmetic number, because the mean of its divisors is an integer number (804700419705).

Almost surely, 2^{116749720442880} is an apocalyptic number.

116749720442880 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 116749720442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231753720875040).

116749720442880 is an abundant number, since it is smaller than the sum of its proper divisors (346757721307200).

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

116749720442880 is a wasteful number, since it uses less digits than its factorization.

116749720442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418426 (or 418403 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 116749720442880 in words is "one hundred sixteen trillion, seven hundred forty-nine billion, seven hundred twenty million, four hundred forty-two thousand, eight hundred eighty".