27297490090000 has 225 divisors, whose sum is σ = 71582671691553. Its totient is φ = 10076565408000.

The previous prime is 27297490089977. The next prime is 27297490090019. The reversal of 27297490090000 is 9009479272.

It is a happy number.

The square root of 27297490090000 is 5224700.

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 26962554732304 + 334935357696 = 5192548^2 + 578736^2 .

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 6792107991 + ... + 6792112009.

Almost surely, 2^{27297490090000} is an apocalyptic number.

27297490090000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27297490090000 is the 5224700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27297490090000

27297490090000 is an abundant number, since it is smaller than the sum of its proper divisors (44285181601553).

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

27297490090000 is an frugal number, since it uses more digits than its factorization.

27297490090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8092 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

The spelling of 27297490090000 in words is "twenty-seven trillion, two hundred ninety-seven billion, four hundred ninety million, ninety thousand".