9891772800 has 768 divisors, whose sum is σ = 40939046400. Its totient is φ = 2055905280.

The previous prime is 9891772763. The next prime is 9891772811. The reversal of 9891772800 is 82771989.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147638367 + ... + 147638433.

It is an arithmetic number, because the mean of its divisors is an integer number (53306050).

Almost surely, 2^9891772800 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 9891772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20469523200).

9891772800 is an abundant number, since it is smaller than the sum of its proper divisors (31047273600).

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

9891772800 is a wasteful number, since it uses less digits than its factorization.

9891772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 51.

The square root of 9891772800 is about 99457.3918821522. The cubic root of 9891772800 is about 2146.6342000071.

The spelling of 9891772800 in words is "nine billion, eight hundred ninety-one million, seven hundred seventy-two thousand, eight hundred".