980669289600 has 6144 divisors, whose sum is σ = 5507647488000. Its totient is φ = 163499212800.

The previous prime is 980669289539. The next prime is 980669289653. The reversal of 980669289600 is 6982966089.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 33816182386 + ... + 33816182414.

It is an arithmetic number, because the mean of its divisors is an integer number (896427000).

Almost surely, 2^980669289600 is an apocalyptic number.

980669289600 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 980669289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753823744000).

980669289600 is an abundant number, since it is smaller than the sum of its proper divisors (4526978198400).

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

980669289600 is a wasteful number, since it uses less digits than its factorization.

980669289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 980669289600 in words is "nine hundred eighty billion, six hundred sixty-nine million, two hundred eighty-nine thousand, six hundred".