1908072568900 has 81 divisors (see below), whose sum is σ = 4231927897309. Its totient is φ = 746735947360.

The previous prime is 1908072568859. The next prime is 1908072569017. The reversal of 1908072568900 is 98652708091.

The square root of 1908072568900 is 1381330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 686906124804 + 1221166444096 = 828798^2 + 1105064^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 649223631 + ... + 649226569.

Almost surely, 2^{1908072568900} is an apocalyptic number.

1908072568900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1908072568900 is the 1381330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1908072568900

1908072568900 is an abundant number, since it is smaller than the sum of its proper divisors (2323855328409).

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

1908072568900 is an frugal number, since it uses more digits than its factorization.

1908072568900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 55.

The spelling of 1908072568900 in words is "one trillion, nine hundred eight billion, seventy-two million, five hundred sixty-eight thousand, nine hundred".