10009201860 has 384 divisors, whose sum is σ = 38054016000. Its totient is φ = 2131992576.

The previous prime is 10009201777. The next prime is 10009201879. The reversal of 10009201860 is 6810290001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7003626 + ... + 7005054.

It is an arithmetic number, because the mean of its divisors is an integer number (99099000).

Almost surely, 2^10009201860 is an apocalyptic number.

10009201860 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 10009201860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19027008000).

10009201860 is an abundant number, since it is smaller than the sum of its proper divisors (28044814140).

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

10009201860 is a wasteful number, since it uses less digits than its factorization.

10009201860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 10009201860 its reverse (6810290001), we get a palindrome (16819491861).

The spelling of 10009201860 in words is "ten billion, nine million, two hundred one thousand, eight hundred sixty".