9821952000 has 1152 divisors, whose sum is σ = 43695288000. Its totient is φ = 2167603200.

The previous prime is 9821951983. The next prime is 9821952037. The reversal of 9821952000 is 2591289.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 338687986 + ... + 338688014.

Almost surely, 2^9821952000 is an apocalyptic number.

9821952000 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 9821952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21847644000).

9821952000 is an abundant number, since it is smaller than the sum of its proper divisors (33873336000).

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

9821952000 is a wasteful number, since it uses less digits than its factorization.

9821952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 9821952000 is about 99105.7616892176. The cubic root of 9821952000 is about 2141.5716175238.

The spelling of 9821952000 in words is "nine billion, eight hundred twenty-one million, nine hundred fifty-two thousand".