986628936960 has 360 divisors, whose sum is σ = 3596968960200. Its totient is φ = 258135441408.

The previous prime is 986628936941. The next prime is 986628936989. The reversal of 986628936960 is 69639826689.

986628936960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 290512376064 + 696116560896 = 538992^2 + 834336^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 39 ways as a sum of consecutive naturals, for example, 5405266 + ... + 5584814.

It is an arithmetic number, because the mean of its divisors is an integer number (9991580445).

Almost surely, 2^986628936960 is an apocalyptic number.

986628936960 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 986628936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798484480100).

986628936960 is an abundant number, since it is smaller than the sum of its proper divisors (2610340023240).

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

986628936960 is a wasteful number, since it uses less digits than its factorization.

986628936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179635 (or 179612 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 986628936960 in words is "nine hundred eighty-six billion, six hundred twenty-eight million, nine hundred thirty-six thousand, nine hundred sixty".