278070807168 has 960 divisors, whose sum is σ = 1112308433280. Its totient is φ = 67954360320.

The previous prime is 278070807143. The next prime is 278070807181. The reversal of 278070807168 is 861708070872.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 95000521 + ... + 95003447.

It is an arithmetic number, because the mean of its divisors is an integer number (1158654618).

Almost surely, 2^278070807168 is an apocalyptic number.

278070807168 is a gapful number since it is divisible by the number (28) 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 278070807168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556154216640).

278070807168 is an abundant number, since it is smaller than the sum of its proper divisors (834237626112).

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

278070807168 is a wasteful number, since it uses less digits than its factorization.

278070807168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 278070807168 in words is "two hundred seventy-eight billion, seventy million, eight hundred seven thousand, one hundred sixty-eight".