9959056183440 has 1920 divisors, whose sum is σ = 47898309312000. Its totient is φ = 1873478025216.

The previous prime is 9959056183357. The next prime is 9959056183463. The reversal of 9959056183440 is 443816509599.

9959056183440 is a `hidden beast` number, since 9 + 9 + 5 + 9 + 0 + 5 + 6 + 183 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 444410956 + ... + 444433364.

It is an arithmetic number, because the mean of its divisors is an integer number (24947036100).

Almost surely, 2^{9959056183440} is an apocalyptic number.

9959056183440 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 9959056183440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23949154656000).

9959056183440 is an abundant number, since it is smaller than the sum of its proper divisors (37939253128560).

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

9959056183440 is a wasteful number, since it uses less digits than its factorization.

9959056183440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22494 (or 22475 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 9959056183440 in words is "nine trillion, nine hundred fifty-nine billion, fifty-six million, one hundred eighty-three thousand, four hundred forty".