9820416888000 has 224 divisors, whose sum is σ = 36030019197120. Its totient is φ = 2618777779200.

The previous prime is 9820416887993. The next prime is 9820416888031. The reversal of 9820416888000 is 8886140289.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22516447 + ... + 22948446.

Almost surely, 2^{9820416888000} is an apocalyptic number.

9820416888000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9820416888000 is an abundant number, since it is smaller than the sum of its proper divisors (26209602309120).

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

9820416888000 is a wasteful number, since it uses less digits than its factorization.

9820416888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45464929 (or 45464903 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 9820416888000 in words is "nine trillion, eight hundred twenty billion, four hundred sixteen million, eight hundred eighty-eight thousand".