9894210480000 has 5120 divisors, whose sum is σ = 49923219456000. Its totient is φ = 1866240000000.

The previous prime is 9894210479917. The next prime is 9894210480047. The reversal of 9894210480000 is 840124989.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 97962479950 + ... + 97962480050.

It is an arithmetic number, because the mean of its divisors is an integer number (9750628800).

Almost surely, 2^{9894210480000} is an apocalyptic number.

9894210480000 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 9894210480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24961609728000).

9894210480000 is an abundant number, since it is smaller than the sum of its proper divisors (40029008976000).

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

9894210480000 is a wasteful number, since it uses less digits than its factorization.

9894210480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 9894210480000 in words is "nine trillion, eight hundred ninety-four billion, two hundred ten million, four hundred eighty thousand".