27872802627431 has 16 divisors (see below), whose sum is σ = 30464725524480. Its totient is φ = 25386714541440.

The previous prime is 27872802627427. The next prime is 27872802627491. The reversal of 27872802627431 is 13472620827872.

It is a cyclic number.

It is not a de Polignac number, because 27872802627431 - 2² = 27872802627427 is a prime.

It is a super-2 number, since 2×27872802627431² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27872802627491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59506910 + ... + 59973476.

It is an arithmetic number, because the mean of its divisors is an integer number (1904045345280).

Almost surely, 2^{27872802627431} is an apocalyptic number.

27872802627431 is a deficient number, since it is larger than the sum of its proper divisors (2591922897049).

27872802627431 is a wasteful number, since it uses less digits than its factorization.

27872802627431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579974.

The product of its (nonzero) digits is 25288704, while the sum is 59.

The spelling of 27872802627431 in words is "twenty-seven trillion, eight hundred seventy-two billion, eight hundred two million, six hundred twenty-seven thousand, four hundred thirty-one".