5591806090000 has 675 divisors, whose sum is σ = 15719810493387. Its totient is φ = 1925054976000.

The previous prime is 5591806089997. The next prime is 5591806090037. The reversal of 5591806090000 is 906081955.

It is a happy number.

The square root of 5591806090000 is 2364700.

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

It can be written as a sum of positive squares in 22 ways, for example, as 4826475061776 + 765331028224 = 2196924^2 + 874832^2 .

It is a super-2 number, since 2×5591806090000² (a number of 26 digits) contains 22 as substring.

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, 52259869947 + ... + 52259870053.

Almost surely, 2^{5591806090000} is an apocalyptic number.

5591806090000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5591806090000 is the 2364700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5591806090000

5591806090000 is an abundant number, since it is smaller than the sum of its proper divisors (10128004403387).

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

5591806090000 is a wasteful number, since it uses less digits than its factorization.

5591806090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 43.

The spelling of 5591806090000 in words is "five trillion, five hundred ninety-one billion, eight hundred six million, ninety thousand".