980995276800 has 1584 divisors, whose sum is σ = 4543537444992. Its totient is φ = 203843174400.

The previous prime is 980995276733. The next prime is 980995276801. The reversal of 980995276800 is 8672599089.

It is a Jordan-Polya number, since it can be written as 12! ⋅ (2!)¹¹.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980995276801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89181388795 + ... + 89181388805.

Almost surely, 2^980995276800 is an apocalyptic number.

980995276800 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 980995276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271768722496).

980995276800 is an abundant number, since it is smaller than the sum of its proper divisors (3562542168192).

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

980995276800 is an frugal number, since it uses more digits than its factorization.

980995276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 980995276800 in words is "nine hundred eighty billion, nine hundred ninety-five million, two hundred seventy-six thousand, eight hundred".