279999999972 has 288 divisors, whose sum is σ = 907382181888. Its totient is φ = 70683840000.

The previous prime is 279999999899. The next prime is 279999999991.

279999999972 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30795147 + ... + 30804237.

It is an arithmetic number, because the mean of its divisors is an integer number (3150632576).

Almost surely, 2^279999999972 is an apocalyptic number.

279999999972 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 279999999972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453691090944).

279999999972 is an abundant number, since it is smaller than the sum of its proper divisors (627382181916).

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

279999999972 is a wasteful number, since it uses less digits than its factorization.

279999999972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9431 (or 9426 counting only the distinct ones).

The product of its digits is 8437157316, while the sum is 90.

It can be divided in two parts, 27 and 9999999972, that added together give a palindrome (9999999999).

The spelling of 279999999972 in words is "two hundred seventy-nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred seventy-two".