200081760540676 has 405 divisors, whose sum is σ = 434166659971989. Its totient is φ = 80672817564864.

The previous prime is 200081760540647. The next prime is 200081760540737. The reversal of 200081760540676 is 676045067180002.

The square root of 200081760540676 is 14145026.

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., 179035906984900 + 21045853555776 = 13380430^2 + 4587576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2410623620931 + ... + 2410623621013.

Almost surely, 2^{200081760540676} is an apocalyptic number.

200081760540676 is the 14145026-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200081760540676

200081760540676 is an abundant number, since it is smaller than the sum of its proper divisors (234084899431313).

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

200081760540676 is an frugal number, since it uses more digits than its factorization.

200081760540676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 200081760540676 in words is "two hundred trillion, eighty-one billion, seven hundred sixty million, five hundred forty thousand, six hundred seventy-six".