116776235520 has 840 divisors, whose sum is σ = 488711721564. Its totient is φ = 26670809088.

The previous prime is 116776235461. The next prime is 116776235531. The reversal of 116776235520 is 25532677611.

It is a happy number.

116776235520 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 76 + 23 + 552 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116767090944 + 9144576 = 341712^2 + 3024^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 91445122 + ... + 91446398.

Almost surely, 2^116776235520 is an apocalyptic number.

116776235520 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 116776235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244355860782).

116776235520 is an abundant number, since it is smaller than the sum of its proper divisors (371935486044).

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

116776235520 is an frugal number, since it uses more digits than its factorization.

116776235520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 116776235520 in words is "one hundred sixteen billion, seven hundred seventy-six million, two hundred thirty-five thousand, five hundred twenty".