116478761760 has 72 divisors (see below), whose sum is σ = 397483779420. Its totient is φ = 31061002752.

The previous prime is 116478761753. The next prime is 116478761761. The reversal of 116478761760 is 67167874611.

It is a happy number.

116478761760 is a `hidden beast` number, since 1 + 16 + 4 + 7 + 8 + 7 + 617 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115466758416 + 1012003344 = 339804^2 + 31812^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×116478761760² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116478761697 and 116478761706.

It is not an unprimeable number, because it can be changed into a prime (116478761761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40442575 + ... + 40445454.

Almost surely, 2^116478761760 is an apocalyptic number.

116478761760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116478761760 is an abundant number, since it is smaller than the sum of its proper divisors (281005017660).

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

116478761760 is a wasteful number, since it uses less digits than its factorization.

116478761760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80888050 (or 80888039 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 116478761760 in words is "one hundred sixteen billion, four hundred seventy-eight million, seven hundred sixty-one thousand, seven hundred sixty".