27601025466 has 64 divisors (see below), whose sum is σ = 64423468800. Its totient is φ = 7880140800.

The previous prime is 27601025437. The next prime is 27601025489. The reversal of 27601025466 is 66452010672.

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 31 ways as a sum of consecutive naturals, for example, 3290670 + ... + 3299046.

It is an arithmetic number, because the mean of its divisors is an integer number (1006616700).

Almost surely, 2^27601025466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27601025466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32211734400).

27601025466 is an abundant number, since it is smaller than the sum of its proper divisors (36822443334).

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

27601025466 is a wasteful number, since it uses less digits than its factorization.

27601025466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10004 (or 9990 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

It can be divided in two parts, 276010 and 25466, that added together give a triangular number (301476 = T₇₇₆).

The spelling of 27601025466 in words is "twenty-seven billion, six hundred one million, twenty-five thousand, four hundred sixty-six".