278880084000 has 480 divisors, whose sum is σ = 1169818505856. Its totient is φ = 63743500800.

The previous prime is 278880083969. The next prime is 278880084013. The reversal of 278880084000 is 480088872.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2206519 + ... + 2329481.

Almost surely, 2^278880084000 is an apocalyptic number.

278880084000 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 278880084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584909252928).

278880084000 is an abundant number, since it is smaller than the sum of its proper divisors (890938421856).

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

278880084000 is a wasteful number, since it uses less digits than its factorization.

278880084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123007 (or 122980 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 278880084000 in words is "two hundred seventy-eight billion, eight hundred eighty million, eighty-four thousand".