986968889760 has 1152 divisors, whose sum is σ = 3927673774080. Its totient is φ = 207645548544.

The previous prime is 986968889737. The next prime is 986968889761. The reversal of 986968889760 is 67988869689.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is not an unprimeable number, because it can be changed into a prime (986968889761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7204152412 + ... + 7204152548.

It is an arithmetic number, because the mean of its divisors is an integer number (3409439040).

Almost surely, 2^986968889760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 986968889760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963836887040).

986968889760 is an abundant number, since it is smaller than the sum of its proper divisors (2940704884320).

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

986968889760 is a wasteful number, since it uses less digits than its factorization.

986968889760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 84.

The spelling of 986968889760 in words is "nine hundred eighty-six billion, nine hundred sixty-eight million, eight hundred eighty-nine thousand, seven hundred sixty".