10090800266404 has 243 divisors, whose sum is σ = 21824880627459. Its totient is φ = 4077232199040.

The previous prime is 10090800266401. The next prime is 10090800266413. The reversal of 10090800266404 is 40466200809001.

The square root of 10090800266404 is 3176602.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1293929000100 + 8796871266304 = 1137510^2 + 2965952^2 .

It is not an unprimeable number, because it can be changed into a prime (10090800266401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26346736797 + ... + 26346737179.

Almost surely, 2^{10090800266404} is an apocalyptic number.

10090800266404 is the 3176602-nd square number.

It is an amenable number.

10090800266404 is an abundant number, since it is smaller than the sum of its proper divisors (11734080361055).

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

10090800266404 is a wasteful number, since it uses less digits than its factorization.

10090800266404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 10090800266404 in words is "ten trillion, ninety billion, eight hundred million, two hundred sixty-six thousand, four hundred four".