9875949000 has 256 divisors, whose sum is σ = 32146882560. Its totient is φ = 2521440000.

The previous prime is 9875948989. The next prime is 9875949011. The reversal of 9875949000 is 9495789.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9875948989) and next prime (9875949011).

It is a super-3 number, since 3×9875949000³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9578485 + ... + 9579515.

It is an arithmetic number, because the mean of its divisors is an integer number (125573760).

Almost surely, 2^9875949000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9875949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16073441280).

9875949000 is an abundant number, since it is smaller than the sum of its proper divisors (22270933560).

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

9875949000 is a wasteful number, since it uses less digits than its factorization.

9875949000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 9875949000 is about 99377.8093942506. The cubic root of 9875949000 is about 2145.4889371778.

The spelling of 9875949000 in words is "nine billion, eight hundred seventy-five million, nine hundred forty-nine thousand".