9890758920 has 256 divisors, whose sum is σ = 34670592000. Its totient is φ = 2210697216.

The previous prime is 9890758919. The next prime is 9890758961. The reversal of 9890758920 is 298570989.

It is a super-2 number, since 2×9890758920² (a number of 21 digits) contains 22 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, 7498021 + ... + 7499339.

It is an arithmetic number, because the mean of its divisors is an integer number (135432000).

Almost surely, 2^9890758920 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 9890758920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17335296000).

9890758920 is an abundant number, since it is smaller than the sum of its proper divisors (24779833080).

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

9890758920 is a wasteful number, since it uses less digits than its factorization.

9890758920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 57.

The square root of 9890758920 is about 99452.2946944916. The cubic root of 9890758920 is about 2146.5608560983.

The spelling of 9890758920 in words is "nine billion, eight hundred ninety million, seven hundred fifty-eight thousand, nine hundred twenty".