1008689320980 has 1296 divisors, whose sum is σ = 3835274356368. Its totient is φ = 221709312000.

The previous prime is 1008689320979. The next prime is 1008689321021. The reversal of 1008689320980 is 890239868001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 319105231236 + 689584089744 = 564894^2 + 830412^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 9987022930 + ... + 9987023030.

It is an arithmetic number, because the mean of its divisors is an integer number (2959316633).

Almost surely, 2^{1008689320980} is an apocalyptic number.

1008689320980 is a gapful number since it is divisible by the number (10) 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 1008689320980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917637178184).

1008689320980 is an abundant number, since it is smaller than the sum of its proper divisors (2826585035388).

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

1008689320980 is a wasteful number, since it uses less digits than its factorization.

1008689320980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 1008689320980 in words is "one trillion, eight billion, six hundred eighty-nine million, three hundred twenty thousand, nine hundred eighty".