9897292800 has 792 divisors, whose sum is σ = 38620437856. Its totient is φ = 2508226560.

The previous prime is 9897292799. The next prime is 9897292807. The reversal of 9897292800 is 82927989.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9897292807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 230169579 + ... + 230169621.

Almost surely, 2^9897292800 is an apocalyptic number.

9897292800 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 9897292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19310218928).

9897292800 is an abundant number, since it is smaller than the sum of its proper divisors (28723145056).

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

9897292800 is a wasteful number, since it uses less digits than its factorization.

9897292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 9897292800 is about 99485.1385886354. The cubic root of 9897292800 is about 2147.0334279836.

The spelling of 9897292800 in words is "nine billion, eight hundred ninety-seven million, two hundred ninety-two thousand, eight hundred".