981159955920 has 240 divisors, whose sum is σ = 3486655411200. Its totient is φ = 246573573120.

The previous prime is 981159955913. The next prime is 981159955933. The reversal of 981159955920 is 29559951189.

It is a happy number.

981159955920 is a `hidden beast` number, since 9 + 8 + 1 + 1 + 59 + 9 + 559 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2425126 + ... + 2800634.

It is an arithmetic number, because the mean of its divisors is an integer number (14527730880).

Almost surely, 2^981159955920 is an apocalyptic number.

981159955920 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 981159955920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743327705600).

981159955920 is an abundant number, since it is smaller than the sum of its proper divisors (2505495455280).

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

981159955920 is a wasteful number, since it uses less digits than its factorization.

981159955920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375738 (or 375729 counting only the distinct ones).

The product of its (nonzero) digits is 13122000, while the sum is 63.

The spelling of 981159955920 in words is "nine hundred eighty-one billion, one hundred fifty-nine million, nine hundred fifty-five thousand, nine hundred twenty".