9805123046400 has 528 divisors, whose sum is σ = 35800226019840. Its totient is φ = 2346894950400.

The previous prime is 9805123046371. The next prime is 9805123046461. The reversal of 9805123046400 is 46403215089.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×9805123046400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66665742 + ... + 66812658.

Almost surely, 2^{9805123046400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9805123046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17900113009920).

9805123046400 is an abundant number, since it is smaller than the sum of its proper divisors (25995102973440).

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

9805123046400 is a wasteful number, since it uses less digits than its factorization.

9805123046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147040 (or 147017 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 9805123046400 in words is "nine trillion, eight hundred five billion, one hundred twenty-three million, forty-six thousand, four hundred".