116807582880 has 288 divisors, whose sum is σ = 437830323840. Its totient is φ = 28226119680.

The previous prime is 116807582873. The next prime is 116807582893. The reversal of 116807582880 is 88285708611.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×116807582880⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 536470 + ... + 722090.

It is an arithmetic number, because the mean of its divisors is an integer number (1520244180).

Almost surely, 2^116807582880 is an apocalyptic number.

116807582880 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 116807582880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218915161920).

116807582880 is an abundant number, since it is smaller than the sum of its proper divisors (321022740960).

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

116807582880 is a wasteful number, since it uses less digits than its factorization.

116807582880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185684 (or 185673 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 116807582880 in words is "one hundred sixteen billion, eight hundred seven million, five hundred eighty-two thousand, eight hundred eighty".