27435955953472 has 84 divisors (see below), whose sum is σ = 59844707262340. Its totient is φ = 12470440181760.

The previous prime is 27435955953443. The next prime is 27435955953557.

27435955953472 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 19645247831616 + 7790708121856 = 4432296^2 + 2791184^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316663054 + ... + 316749682.

Almost surely, 2^{27435955953472} is an apocalyptic number.

27435955953472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27435955953472 is an abundant number, since it is smaller than the sum of its proper divisors (32408751308868).

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

27435955953472 is a wasteful number, since it uses less digits than its factorization.

27435955953472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127560 (or 127539 counting only the distinct ones).

The product of its digits is 1428840000, while the sum is 70.

The spelling of 27435955953472 in words is "twenty-seven trillion, four hundred thirty-five billion, nine hundred fifty-five million, nine hundred fifty-three thousand, four hundred seventy-two".