9804878590800 has 120 divisors (see below), whose sum is σ = 31616296953280. Its totient is φ = 2597318784000.

The previous prime is 9804878590763. The next prime is 9804878590817. The reversal of 9804878590800 is 80958784089.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×9804878590800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26874205 + ... + 27236604.

Almost surely, 2^{9804878590800} is an apocalyptic number.

It is an amenable number.

9804878590800 is an abundant number, since it is smaller than the sum of its proper divisors (21811418362480).

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

9804878590800 is a wasteful number, since it uses less digits than its factorization.

9804878590800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54110981 (or 54110970 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 66.

The spelling of 9804878590800 in words is "nine trillion, eight hundred four billion, eight hundred seventy-eight million, five hundred ninety thousand, eight hundred".