27900011000972 has 48 divisors (see below), whose sum is σ = 55580139546624. Its totient is φ = 12130293120000.

The previous prime is 27900011000971. The next prime is 27900011000999.

27900011000972 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27900011000972² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27900011000971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157004972 + ... + 157182572.

It is an arithmetic number, because the mean of its divisors is an integer number (1157919573888).

Almost surely, 2^{27900011000972} is an apocalyptic number.

27900011000972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27900011000972 is a deficient number, since it is larger than the sum of its proper divisors (27680128545652).

27900011000972 is a wasteful number, since it uses less digits than its factorization.

27900011000972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332870 (or 332868 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 38.

It can be divided in two parts, 2790001 and 1000972, that added together give a palindrome (3790973).

The spelling of 27900011000972 in words is "twenty-seven trillion, nine hundred billion, eleven million, nine hundred seventy-two", and thus it is an aban number.