278765844870240 has 6144 divisors, whose sum is σ = 1351056236544000. Its totient is φ = 52031989481472.

The previous prime is 278765844870229. The next prime is 278765844870251. The reversal of 278765844870240 is 42078448567872.

278765844870240 is a `hidden beast` number, since 2 + 7 + 8 + 7 + 65 + 84 + 487 + 0 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (278765844870229) and next prime (278765844870251).

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

It is a congruent number.

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 1023 ways as a sum of consecutive naturals, for example, 1166384288041 + ... + 1166384288279.

It is an arithmetic number, because the mean of its divisors is an integer number (219898476000).

Almost surely, 2^{278765844870240} is an apocalyptic number.

278765844870240 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 278765844870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675528118272000).

278765844870240 is an abundant number, since it is smaller than the sum of its proper divisors (1072290391673760).

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

278765844870240 is a wasteful number, since it uses less digits than its factorization.

278765844870240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1348730880, while the sum is 72.

The spelling of 278765844870240 in words is "two hundred seventy-eight trillion, seven hundred sixty-five billion, eight hundred forty-four million, eight hundred seventy thousand, two hundred forty".