27601221152 has 54 divisors (see below), whose sum is σ = 55714584807. Its totient is φ = 13459930176.

The previous prime is 27601221143. The next prime is 27601221161. The reversal of 27601221152 is 25112210672.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (27601221143) and next prime (27601221161).

It can be written as a sum of positive squares in only one way, i.e., 13800610576 + 13800610576 = 117476^2 + 117476^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=117476.

It is a super-2 number, since 2×27601221152² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40411403 + ... + 40412085.

Almost surely, 2^27601221152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27601221152

27601221152 is an abundant number, since it is smaller than the sum of its proper divisors (28113363655).

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

27601221152 is an frugal number, since it uses more digits than its factorization.

27601221152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 27601221152 in words is "twenty-seven billion, six hundred one million, two hundred twenty-one thousand, one hundred fifty-two".