27501268641 has 32 divisors (see below), whose sum is σ = 46779583488. Its totient is φ = 13954127040.

The previous prime is 27501268631. The next prime is 27501268643. The reversal of 27501268641 is 14686210572.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-27501268641 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27501268593 and 27501268602.

It is not an unprimeable number, because it can be changed into a prime (27501268643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1374406 + ... + 1394271.

It is an arithmetic number, because the mean of its divisors is an integer number (1461861984).

Almost surely, 2^27501268641 is an apocalyptic number.

27501268641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27501268641 is a deficient number, since it is larger than the sum of its proper divisors (19278314847).

27501268641 is a wasteful number, since it uses less digits than its factorization.

27501268641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768741.

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 27501268641 in words is "twenty-seven billion, five hundred one million, two hundred sixty-eight thousand, six hundred forty-one".