278868052869120 has 3264 divisors, whose sum is σ = 1240761287001600. Its totient is φ = 59073751941120.

The previous prime is 278868052869097. The next prime is 278868052869127. The reversal of 278868052869120 is 21968250868872.

It is a happy number.

278868052869120 is a `hidden beast` number, since 2 + 7 + 8 + 8 + 6 + 8 + 0 + 528 + 6 + 91 + 2 + 0 = 666.

It is a super-2 number, since 2×278868052869120² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (278868052869127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 216344493436 + ... + 216344494724.

Almost surely, 2^{278868052869120} is an apocalyptic number.

278868052869120 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 278868052869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620380643500800).

278868052869120 is an abundant number, since it is smaller than the sum of its proper divisors (961893234132480).

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

278868052869120 is a wasteful number, since it uses less digits than its factorization.

278868052869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 278868052869120 in words is "two hundred seventy-eight trillion, eight hundred sixty-eight billion, fifty-two million, eight hundred sixty-nine thousand, one hundred twenty".