980464885200 has 180 divisors, whose sum is σ = 3432597418380. Its totient is φ = 259143413760.

The previous prime is 980464885123. The next prime is 980464885223. The reversal of 980464885200 is 2588464089.

980464885200 is a `hidden beast` number, since 9 + 80 + 464 + 8 + 85 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 79917028416 + 900547856784 = 282696^2 + 948972^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×980464885200² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 798295 + ... + 1611894.

Almost surely, 2^980464885200 is an apocalyptic number.

980464885200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

980464885200 is an abundant number, since it is smaller than the sum of its proper divisors (2452132533180).

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

980464885200 is a wasteful number, since it uses less digits than its factorization.

980464885200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410326 (or 2410312 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 980464885200 in words is "nine hundred eighty billion, four hundred sixty-four million, eight hundred eighty-five thousand, two hundred".