980681447116800 has 2496 divisors, whose sum is σ = 4266036609515520. Its totient is φ = 217714065408000.

The previous prime is 980681447116783. The next prime is 980681447116843. The reversal of 980681447116800 is 8611744186089.

980681447116800 is a `hidden beast` number, since 9 + 8 + 0 + 6 + 81 + 4 + 471 + 1 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×980681447116800² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50211523035 + ... + 50211542565.

Almost surely, 2^{980681447116800} is an apocalyptic number.

980681447116800 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 980681447116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133018304757760).

980681447116800 is an abundant number, since it is smaller than the sum of its proper divisors (3285355162398720).

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

980681447116800 is a wasteful number, since it uses less digits than its factorization.

980681447116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19725 (or 19692 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 980681447116800 in words is "nine hundred eighty trillion, six hundred eighty-one billion, four hundred forty-seven million, one hundred sixteen thousand, eight hundred".