27826045520 has 240 divisors, whose sum is σ = 81302327568. Its totient is φ = 8778792960.

The previous prime is 27826045483. The next prime is 27826045537. The reversal of 27826045520 is 2554062872.

It can be written as a sum of positive squares in 8 ways, for example, as 1832867344 + 25993178176 = 42812^2 + 161224^2 .

It is a super-2 number, since 2×27826045520² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21453512 + ... + 21454808.

Almost surely, 2^27826045520 is an apocalyptic number.

27826045520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27826045520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40651163784).

27826045520 is an abundant number, since it is smaller than the sum of its proper divisors (53476282048).

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

27826045520 is a wasteful number, since it uses less digits than its factorization.

27826045520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 41.

The spelling of 27826045520 in words is "twenty-seven billion, eight hundred twenty-six million, forty-five thousand, five hundred twenty".