278956099416852 has 864 divisors, whose sum is σ = 886384274106240. Its totient is φ = 72905210542080.

The previous prime is 278956099416803. The next prime is 278956099416857. The reversal of 278956099416852 is 258614990659872.

278956099416852 is a `hidden beast` number, since 2 + 7 + 8 + 9 + 5 + 60 + 99 + 416 + 8 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (278956099416857) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 116766888474 + ... + 116766890862.

It is an arithmetic number, because the mean of its divisors is an integer number (1025907724660).

Almost surely, 2^{278956099416852} is an apocalyptic number.

278956099416852 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 278956099416852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443192137053120).

278956099416852 is an abundant number, since it is smaller than the sum of its proper divisors (607428174689388).

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

278956099416852 is a wasteful number, since it uses less digits than its factorization.

278956099416852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 4702924800, while the sum is 81.

The spelling of 278956099416852 in words is "two hundred seventy-eight trillion, nine hundred fifty-six billion, ninety-nine million, four hundred sixteen thousand, eight hundred fifty-two".