22087180090000 has 75 divisors (see below), whose sum is σ = 53476409584477. Its totient is φ = 8834684048000.

The previous prime is 22087180089959. The next prime is 22087180090009. The reversal of 22087180090000 is 9008178022.

The square root of 22087180090000 is 4699700.

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

It can be written as a sum of positive squares in 7 ways, for example, as 17536228266384 + 4550951823616 = 4187628^2 + 2133296^2 .

It is a super-3 number, since 3×22087180090000³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22087180090009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 469946502 + ... + 469993498.

Almost surely, 2^{22087180090000} is an apocalyptic number.

22087180090000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22087180090000 is the 4699700-th square number.

It is an amenable number.

22087180090000 is an abundant number, since it is smaller than the sum of its proper divisors (31389229494477).

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

22087180090000 is an frugal number, since it uses more digits than its factorization.

22087180090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94022 (or 47004 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 22087180090000 in words is "twenty-two trillion, eighty-seven billion, one hundred eighty million, ninety thousand".