9881948160 has 1040 divisors, whose sum is σ = 43386875136. Its totient is φ = 2102132736.

The previous prime is 9881948149. The next prime is 9881948161. The reversal of 9881948160 is 618491889.

9881948160 is a `hidden beast` number, since 98 + 8 + 19 + 481 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9881948097 and 9881948106.

It is not an unprimeable number, because it can be changed into a prime (9881948161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 267079662 + ... + 267079698.

Almost surely, 2^9881948160 is an apocalyptic number.

9881948160 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 9881948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21693437568).

9881948160 is an abundant number, since it is smaller than the sum of its proper divisors (33504926976).

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

9881948160 is a wasteful number, since it uses less digits than its factorization.

9881948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The square root of 9881948160 is about 99407.9884113948. The cubic root of 9881948160 is about 2145.9232760649.

The spelling of 9881948160 in words is "nine billion, eight hundred eighty-one million, nine hundred forty-eight thousand, one hundred sixty".