9860901120 has 648 divisors, whose sum is σ = 41221462464. Its totient is φ = 2250436608.

The previous prime is 9860901079. The next prime is 9860901161. The reversal of 9860901120 is 211090689.

It is an interprime number because it is at equal distance from previous prime (9860901079) and next prime (9860901161).

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15240637 + ... + 15241283.

It is an arithmetic number, because the mean of its divisors is an integer number (63613368).

Almost surely, 2^9860901120 is an apocalyptic number.

9860901120 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 9860901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20610731232).

9860901120 is an abundant number, since it is smaller than the sum of its proper divisors (31360561344).

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

9860901120 is an equidigital number, since it uses as much as digits as its factorization.

9860901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 9860901120 is about 99302.0700690575. The cubic root of 9860901120 is about 2144.3986969240.

The spelling of 9860901120 in words is "nine billion, eight hundred sixty million, nine hundred one thousand, one hundred twenty".