278613786120 has 256 divisors, whose sum is σ = 889916544000. Its totient is φ = 69582836736.

The previous prime is 278613786091. The next prime is 278613786133. The reversal of 278613786120 is 21687316872.

It is a super-2 number, since 2×278613786120² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 160768774 + ... + 160770506.

It is an arithmetic number, because the mean of its divisors is an integer number (3476236500).

Almost surely, 2^278613786120 is an apocalyptic number.

278613786120 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 278613786120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444958272000).

278613786120 is an abundant number, since it is smaller than the sum of its proper divisors (611302757880).

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

278613786120 is a wasteful number, since it uses less digits than its factorization.

278613786120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 278613786120 in words is "two hundred seventy-eight billion, six hundred thirteen million, seven hundred eighty-six thousand, one hundred twenty".