9861316920 has 512 divisors, whose sum is σ = 42594048000. Its totient is φ = 1970749440.

The previous prime is 9861316879. The next prime is 9861316937. The reversal of 9861316920 is 296131689.

It is a happy number.

9861316920 is a `hidden beast` number, since 9 + 8 + 613 + 1 + 6 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1864680 + ... + 1869960.

It is an arithmetic number, because the mean of its divisors is an integer number (83191500).

Almost surely, 2^9861316920 is an apocalyptic number.

9861316920 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 9861316920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21297024000).

9861316920 is an abundant number, since it is smaller than the sum of its proper divisors (32732731080).

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

9861316920 is a wasteful number, since it uses less digits than its factorization.

9861316920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5340 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9861316920 is about 99304.1636589322. The cubic root of 9861316920 is about 2144.4288371189.

The spelling of 9861316920 in words is "nine billion, eight hundred sixty-one million, three hundred sixteen thousand, nine hundred twenty".