27979533597972 has 192 divisors, whose sum is σ = 74619932615424. Its totient is φ = 8084646236160.

The previous prime is 27979533597941. The next prime is 27979533597997.

27979533597972 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55725598 + ... + 56225450.

It is an arithmetic number, because the mean of its divisors is an integer number (388645482372).

Almost surely, 2^{27979533597972} is an apocalyptic number.

27979533597972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27979533597972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37309966307712).

27979533597972 is an abundant number, since it is smaller than the sum of its proper divisors (46640399017452).

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

27979533597972 is a wasteful number, since it uses less digits than its factorization.

27979533597972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500138 (or 500136 counting only the distinct ones).

The product of its digits is 14177664900, while the sum is 84.

The spelling of 27979533597972 in words is "twenty-seven trillion, nine hundred seventy-nine billion, five hundred thirty-three million, five hundred ninety-seven thousand, nine hundred seventy-two".