27503060080896 has 405 divisors, whose sum is σ = 83240944789233. Its totient is φ = 9032005232640.

The previous prime is 27503060080883. The next prime is 27503060080897. The reversal of 27503060080896 is 69808006030572.

It is a happy number.

The square root of 27503060080896 is 5244336.

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

27503060080896 is a `hidden beast` number, since 27 + 5 + 0 + 3 + 0 + 600 + 8 + 0 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8815768586496 + 18687291494400 = 2969136^2 + 4322880^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27503060080897) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 59659566106 + ... + 59659566566.

Almost surely, 2^{27503060080896} is an apocalyptic number.

27503060080896 is the 5244336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27503060080896

27503060080896 is an abundant number, since it is smaller than the sum of its proper divisors (55737884708337).

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

27503060080896 is an frugal number, since it uses more digits than its factorization.

27503060080896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 27503060080896 in words is "twenty-seven trillion, five hundred three billion, sixty million, eighty thousand, eight hundred ninety-six".