27731544513772 has 24 divisors (see below), whose sum is σ = 52954769387520. Its totient is φ = 12602216586960.

The previous prime is 27731544513737. The next prime is 27731544513857.

27731544513772 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27731544513772² (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, 75587908 + ... + 75953899.

It is an arithmetic number, because the mean of its divisors is an integer number (2206448724480).

Almost surely, 2^{27731544513772} is an apocalyptic number.

27731544513772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27731544513772 is a deficient number, since it is larger than the sum of its proper divisors (25223224873748).

27731544513772 is a wasteful number, since it uses less digits than its factorization.

27731544513772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151545981 (or 151545979 counting only the distinct ones).

The product of its digits is 34574400, while the sum is 58.

The spelling of 27731544513772 in words is "twenty-seven trillion, seven hundred thirty-one billion, five hundred forty-four million, five hundred thirteen thousand, seven hundred seventy-two".