978098555200 has 168 divisors, whose sum is σ = 2599576753592. Its totient is φ = 360069857280.

The previous prime is 978098555183. The next prime is 978098555249. The reversal of 978098555200 is 2555890879.

978098555200 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 12 ways, for example, as 422167265536 + 555931289664 = 649744^2 + 745608^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6939832 + ... + 7079368.

Almost surely, 2^978098555200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 978098555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299788376796).

978098555200 is an abundant number, since it is smaller than the sum of its proper divisors (1621478198392).

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

978098555200 is a wasteful number, since it uses less digits than its factorization.

978098555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139909 (or 139894 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 58.

The spelling of 978098555200 in words is "nine hundred seventy-eight billion, ninety-eight million, five hundred fifty-five thousand, two hundred".