981030960000 has 3840 divisors, whose sum is σ = 4882197196800. Its totient is φ = 191600640000.

The previous prime is 981030959869. The next prime is 981030960011. The reversal of 981030960000 is 69030189.

981030960000 is a `hidden beast` number, since 9 + 8 + 10 + 30 + 9 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 31646159985 + ... + 31646160015.

It is an arithmetic number, because the mean of its divisors is an integer number (1271405520).

Almost surely, 2^981030960000 is an apocalyptic number.

981030960000 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 981030960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441098598400).

981030960000 is an abundant number, since it is smaller than the sum of its proper divisors (3901166236800).

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

981030960000 is a wasteful number, since it uses less digits than its factorization.

981030960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Adding to 981030960000 its reverse (69030189), we get a palindrome (981099990189).

The spelling of 981030960000 in words is "nine hundred eighty-one billion, thirty million, nine hundred sixty thousand".