9970858800 has 360 divisors, whose sum is σ = 41266477824. Its totient is φ = 2179837440.

The previous prime is 9970858789. The next prime is 9970858831. The reversal of 9970858800 is 88580799.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 570999 + ... + 588201.

Almost surely, 2^9970858800 is an apocalyptic number.

9970858800 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 9970858800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20633238912).

9970858800 is an abundant number, since it is smaller than the sum of its proper divisors (31295619024).

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

9970858800 is a wasteful number, since it uses less digits than its factorization.

9970858800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17257 (or 17243 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The square root of 9970858800 is about 99854.1876938569. The cubic root of 9970858800 is about 2152.3398934764.

The spelling of 9970858800 in words is "nine billion, nine hundred seventy million, eight hundred fifty-eight thousand, eight hundred".