986665885920 has 2592 divisors, whose sum is σ = 4460670448416. Its totient is φ = 204957941760.

The previous prime is 986665885913. The next prime is 986665885927. The reversal of 986665885920 is 29588566689.

It is an interprime number because it is at equal distance from previous prime (986665885913) and next prime (986665885927).

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986665885927) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 13515971004 + ... + 13515971076.

It is an arithmetic number, because the mean of its divisors is an integer number (1720937673).

Almost surely, 2^986665885920 is an apocalyptic number.

986665885920 is a gapful number since it is divisible by the number (90) 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 986665885920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230335224208).

986665885920 is an abundant number, since it is smaller than the sum of its proper divisors (3474004562496).

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

986665885920 is a wasteful number, since it uses less digits than its factorization.

986665885920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 986665885920 in words is "nine hundred eighty-six billion, six hundred sixty-five million, eight hundred eighty-five thousand, nine hundred twenty".