116772089222880 has 768 divisors, whose sum is σ = 504180670371840. Its totient is φ = 24580691951616.

The previous prime is 116772089222827. The next prime is 116772089222881. The reversal of 116772089222880 is 88222980277611.

116772089222880 is a `hidden beast` number, since 1 + 1 + 67 + 7 + 208 + 92 + 2 + 288 + 0 = 666.

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 (116772089222881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 169877959 + ... + 170563961.

It is an arithmetic number, because the mean of its divisors is an integer number (656485247880).

Almost surely, 2^{116772089222880} is an apocalyptic number.

116772089222880 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 116772089222880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252090335185920).

116772089222880 is an abundant number, since it is smaller than the sum of its proper divisors (387408581148960).

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

116772089222880 is a wasteful number, since it uses less digits than its factorization.

116772089222880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686480 (or 686466 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 116772089222880 in words is "one hundred sixteen trillion, seven hundred seventy-two billion, eighty-nine million, two hundred twenty-two thousand, eight hundred eighty".