9955860813360 has 1280 divisors, whose sum is σ = 44109313966080. Its totient is φ = 2003689820160.

The previous prime is 9955860813313. The next prime is 9955860813407. The reversal of 9955860813360 is 633180685599.

9955860813360 is a `hidden beast` number, since 9 + 9 + 5 + 5 + 8 + 608 + 13 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9955860813313) and next prime (9955860813407).

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 255 ways as a sum of consecutive naturals, for example, 1396918117 + ... + 1396925243.

It is an arithmetic number, because the mean of its divisors is an integer number (34460401536).

Almost surely, 2^{9955860813360} is an apocalyptic number.

9955860813360 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 9955860813360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22054656983040).

9955860813360 is an abundant number, since it is smaller than the sum of its proper divisors (34153453152720).

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

9955860813360 is a wasteful number, since it uses less digits than its factorization.

9955860813360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7431 (or 7419 counting only the distinct ones).

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

The spelling of 9955860813360 in words is "nine trillion, nine hundred fifty-five billion, eight hundred sixty million, eight hundred thirteen thousand, three hundred sixty".