27751801313000 has 32 divisors (see below), whose sum is σ = 64939215074760. Its totient is φ = 11100720524800.

The previous prime is 27751801312997. The next prime is 27751801313011. The reversal of 27751801313000 is 31310815772.

It can be written as a sum of positive squares in 4 ways, for example, as 15793359535396 + 11958441777604 = 3974086^2 + 3458098^2 .

It is a super-2 number, since 2×27751801313000² (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 7 ways as a sum of consecutive naturals, for example, 13875899657 + ... + 13875901656.

Almost surely, 2^{27751801313000} is an apocalyptic number.

27751801313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27751801313000 is an abundant number, since it is smaller than the sum of its proper divisors (37187413761760).

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

27751801313000 is a wasteful number, since it uses less digits than its factorization.

27751801313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27751801334 (or 27751801320 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 27751801313000 in words is "twenty-seven trillion, seven hundred fifty-one billion, eight hundred one million, three hundred thirteen thousand".