9855820800000 has 2520 divisors, whose sum is σ = 43252575400188. Its totient is φ = 2229534720000.

The previous prime is 9855820799999. The next prime is 9855820800029. The reversal of 9855820800000 is 80285589.

9855820800000 is a `hidden beast` number, since 98 + 558 + 2 + 0 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1357802901504 + 8498017898496 = 1165248^2 + 2915136^2 .

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 101606399952 + ... + 101606400048.

Almost surely, 2^{9855820800000} is an apocalyptic number.

9855820800000 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 9855820800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21626287700094).

9855820800000 is an abundant number, since it is smaller than the sum of its proper divisors (33396754600188).

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

9855820800000 is an frugal number, since it uses more digits than its factorization.

9855820800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 9855820800000 in words is "nine trillion, eight hundred fifty-five billion, eight hundred twenty million, eight hundred thousand".