986617812096 has 640 divisors, whose sum is σ = 3566581286400. Its totient is φ = 265213108224.

The previous prime is 986617812067. The next prime is 986617812179. The reversal of 986617812096 is 690218716689.

986617812096 is a `hidden beast` number, since 9 + 8 + 6 + 617 + 8 + 1 + 2 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 356564505 + ... + 356567271.

It is an arithmetic number, because the mean of its divisors is an integer number (5572783260).

Almost surely, 2^986617812096 is an apocalyptic number.

986617812096 is a gapful number since it is divisible by the number (96) 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 986617812096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783290643200).

986617812096 is an abundant number, since it is smaller than the sum of its proper divisors (2579963474304).

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

986617812096 is an equidigital number, since it uses as much as digits as its factorization.

986617812096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 986617812096 in words is "nine hundred eighty-six billion, six hundred seventeen million, eight hundred twelve thousand, ninety-six".