278852841146880 has 11520 divisors, whose sum is σ = 1491537535488000. Its totient is φ = 49301701263360.

The previous prime is 278852841146813. The next prime is 278852841147011. The reversal of 278852841146880 is 88641148258872.

278852841146880 is a `hidden beast` number, since 2 + 7 + 8 + 8 + 5 + 2 + 84 + 1 + 1 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (11520).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 278852841146799 and 278852841146808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 7536563274222 + ... + 7536563274258.

It is an arithmetic number, because the mean of its divisors is an integer number (129473744400).

Almost surely, 2^{278852841146880} is an apocalyptic number.

278852841146880 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 278852841146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745768767744000).

278852841146880 is an abundant number, since it is smaller than the sum of its proper divisors (1212684694341120).

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

278852841146880 is a wasteful number, since it uses less digits than its factorization.

278852841146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 440401920, while the sum is 72.

The spelling of 278852841146880 in words is "two hundred seventy-eight trillion, eight hundred fifty-two billion, eight hundred forty-one million, one hundred forty-six thousand, eight hundred eighty".