981555952320 has 560 divisors, whose sum is σ = 3558864429120. Its totient is φ = 256752820224.

The previous prime is 981555952297. The next prime is 981555952331. The reversal of 981555952320 is 23259555189.

981555952320 is a `hidden beast` number, since 9 + 8 + 1 + 5 + 5 + 595 + 23 + 20 = 666.

It is a super-2 number, since 2×981555952320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 291002154 + ... + 291005526.

It is an arithmetic number, because the mean of its divisors is an integer number (6355115052).

Almost surely, 2^981555952320 is an apocalyptic number.

981555952320 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 981555952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779432214560).

981555952320 is an abundant number, since it is smaller than the sum of its proper divisors (2577308476800).

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

981555952320 is a wasteful number, since it uses less digits than its factorization.

981555952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 981555952320 in words is "nine hundred eighty-one billion, five hundred fifty-five million, nine hundred fifty-two thousand, three hundred twenty".