9812880000 has 1280 divisors, whose sum is σ = 45885312000. Its totient is φ = 2004480000.

The previous prime is 9812879981. The next prime is 9812880023. The reversal of 9812880000 is 882189.

It is a super-2 number, since 2×9812880000² (a number of 21 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 166319971 + ... + 166320029.

It is an arithmetic number, because the mean of its divisors is an integer number (35847900).

Almost surely, 2^9812880000 is an apocalyptic number.

9812880000 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 9812880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22942656000).

9812880000 is an abundant number, since it is smaller than the sum of its proper divisors (36072432000).

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

9812880000 is a wasteful number, since it uses less digits than its factorization.

9812880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 9812880000 is about 99059.9818291928. The cubic root of 9812880000 is about 2140.9120635500.

The spelling of 9812880000 in words is "nine billion, eight hundred twelve million, eight hundred eighty thousand".