27948499049956 has 81 divisors (see below), whose sum is σ = 50662478332809. Its totient is φ = 13490559520416.

The previous prime is 27948499049897. The next prime is 27948499049983. The reversal of 27948499049956 is 65994099484972.

The square root of 27948499049956 is 5286634.

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

It can be written as a sum of positive squares in only one way, i.e., 25008700756900 + 2939798293056 = 5000870^2 + 1714584^2 .

It is a super-2 number, since 2×27948499049956² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77850972105 + ... + 77850972463.

Almost surely, 2^{27948499049956} is an apocalyptic number.

27948499049956 is the 5286634-th square number.

It is an amenable number.

27948499049956 is a deficient number, since it is larger than the sum of its proper divisors (22713979282853).

27948499049956 is an frugal number, since it uses more digits than its factorization.

27948499049956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 12697896960, while the sum is 85.

The spelling of 27948499049956 in words is "twenty-seven trillion, nine hundred forty-eight billion, four hundred ninety-nine million, forty-nine thousand, nine hundred fifty-six".