10183008960 has 1120 divisors, whose sum is σ = 42486681600. Its totient is φ = 2299207680.

The previous prime is 10183008917. The next prime is 10183008961. The reversal of 10183008960 is 6980038101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10183008961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 328484145 + ... + 328484175.

Almost surely, 2^10183008960 is an apocalyptic number.

10183008960 is a gapful number since it is divisible by the number (10) 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 10183008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21243340800).

10183008960 is an abundant number, since it is smaller than the sum of its proper divisors (32303672640).

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

10183008960 is a wasteful number, since it uses less digits than its factorization.

10183008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10183008960 in words is "ten billion, one hundred eighty-three million, eight thousand, nine hundred sixty".