10084350960 has 400 divisors, whose sum is σ = 36654171840. Its totient is φ = 2566287360.

The previous prime is 10084350953. The next prime is 10084351009. The reversal of 10084350960 is 6905348001.

10084350960 is a `hidden beast` number, since 10 + 0 + 84 + 3 + 509 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19355500 + ... + 19356020.

Almost surely, 2^10084350960 is an apocalyptic number.

10084350960 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 10084350960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18327085920).

10084350960 is an abundant number, since it is smaller than the sum of its proper divisors (26569820880).

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

10084350960 is a wasteful number, since it uses less digits than its factorization.

10084350960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 10084350960 its reverse (6905348001), we get a palindrome (16989698961).

The spelling of 10084350960 in words is "ten billion, eighty-four million, three hundred fifty thousand, nine hundred sixty".