116461085580 has 960 divisors, whose sum is σ = 466483691520. Its totient is φ = 23710579200.

The previous prime is 116461085567. The next prime is 116461085617. The reversal of 116461085580 is 85580164611.

116461085580 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 61 + 0 + 8 + 5 + 580 = 666.

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 319 ways as a sum of consecutive naturals, for example, 351846015 + ... + 351846345.

It is an arithmetic number, because the mean of its divisors is an integer number (485920512).

Almost surely, 2^116461085580 is an apocalyptic number.

116461085580 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 116461085580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233241845760).

116461085580 is an abundant number, since it is smaller than the sum of its proper divisors (350022605940).

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

116461085580 is a wasteful number, since it uses less digits than its factorization.

116461085580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 116461085580 in words is "one hundred sixteen billion, four hundred sixty-one million, eighty-five thousand, five hundred eighty".