986115879936 has 704 divisors, whose sum is σ = 3252855275520. Its totient is φ = 295064985600.

The previous prime is 986115879901. The next prime is 986115879941. The reversal of 986115879936 is 639978511689.

986115879936 is a `hidden beast` number, since 9 + 8 + 6 + 1 + 1 + 587 + 9 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4673534871 + ... + 4673535081.

Almost surely, 2^986115879936 is an apocalyptic number.

986115879936 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 986115879936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626427637760).

986115879936 is an abundant number, since it is smaller than the sum of its proper divisors (2266739395584).

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

986115879936 is a wasteful number, since it uses less digits than its factorization.

986115879936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 354 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 72.

The spelling of 986115879936 in words is "nine hundred eighty-six billion, one hundred fifteen million, eight hundred seventy-nine thousand, nine hundred thirty-six".