254086778880 has 832 divisors, whose sum is σ = 1012958035200. Its totient is φ = 59878932480.

The previous prime is 254086778873. The next prime is 254086778899. The reversal of 254086778880 is 88877680452.

254086778880 is a `hidden beast` number, since 2 + 5 + 408 + 6 + 77 + 88 + 80 = 666.

It is a super-2 number, since 2×254086778880² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225054156 + ... + 225055284.

Almost surely, 2^254086778880 is an apocalyptic number.

254086778880 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 254086778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506479017600).

254086778880 is an abundant number, since it is smaller than the sum of its proper divisors (758871256320).

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

254086778880 is a wasteful number, since it uses less digits than its factorization.

254086778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 254086778880 in words is "two hundred fifty-four billion, eighty-six million, seven hundred seventy-eight thousand, eight hundred eighty".