9821972160 has 672 divisors, whose sum is σ = 45372966912. Its totient is φ = 1883381760.

The previous prime is 9821972131. The next prime is 9821972179. The reversal of 9821972160 is 612791289.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×9821972160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 8.

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, 2881177 + ... + 2884583.

It is an arithmetic number, because the mean of its divisors is an integer number (67519296).

Almost surely, 2^9821972160 is an apocalyptic number.

9821972160 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 9821972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22686483456).

9821972160 is an abundant number, since it is smaller than the sum of its proper divisors (35550994752).

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

9821972160 is a wasteful number, since it uses less digits than its factorization.

9821972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 9821972160 is about 99105.8633986910. The cubic root of 9821972160 is about 2141.5730827469.

The spelling of 9821972160 in words is "nine billion, eight hundred twenty-one million, nine hundred seventy-two thousand, one hundred sixty".