279116005140 has 768 divisors, whose sum is σ = 1070176665600. Its totient is φ = 58982515200.

The previous prime is 279116005127. The next prime is 279116005151. The reversal of 279116005140 is 41500611972.

279116005140 is a `hidden beast` number, since 2 + 7 + 9 + 1 + 1 + 600 + 5 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 279116005095 and 279116005104.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 647600725 + ... + 647601155.

It is an arithmetic number, because the mean of its divisors is an integer number (1393459200).

Almost surely, 2^279116005140 is an apocalyptic number.

279116005140 is a gapful number since it is divisible by the number (20) 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 279116005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535088332800).

279116005140 is an abundant number, since it is smaller than the sum of its proper divisors (791060660460).

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

279116005140 is a wasteful number, since it uses less digits than its factorization.

279116005140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 279116005140 in words is "two hundred seventy-nine billion, one hundred sixteen million, five thousand, one hundred forty".