10209191680 has 72 divisors (see below), whose sum is σ = 24486915600. Its totient is φ = 4078215168.

The previous prime is 10209191627. The next prime is 10209191753. The reversal of 10209191680 is 8619190201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1030591 + ... + 1040449.

It is an arithmetic number, because the mean of its divisors is an integer number (340096050).

Almost surely, 2^10209191680 is an apocalyptic number.

10209191680 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 10209191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12243457800).

10209191680 is an abundant number, since it is smaller than the sum of its proper divisors (14277723920).

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

10209191680 is an frugal number, since it uses more digits than its factorization.

10209191680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10689 (or 10675 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 37.

The spelling of 10209191680 in words is "ten billion, two hundred nine million, one hundred ninety-one thousand, six hundred eighty".