254778782400000 has 4320 divisors, whose sum is σ = 1088465312198880. Its totient is φ = 58624819200000.

The previous prime is 254778782399957. The next prime is 254778782400011. The reversal of 254778782400000 is 4287877452.

254778782400000 is a `hidden beast` number, since 2 + 547 + 7 + 8 + 78 + 24 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×254778782400000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 254778782400000.

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 431 ways as a sum of consecutive naturals, for example, 8218670399985 + ... + 8218670400015.

It is an arithmetic number, because the mean of its divisors is an integer number (251959563009).

Almost surely, 2^{254778782400000} is an apocalyptic number.

254778782400000 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 254778782400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544232656099440).

254778782400000 is an abundant number, since it is smaller than the sum of its proper divisors (833686529798880).

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

254778782400000 is an frugal number, since it uses more digits than its factorization.

254778782400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 7024640, while the sum is 54.

The spelling of 254778782400000 in words is "two hundred fifty-four trillion, seven hundred seventy-eight billion, seven hundred eighty-two million, four hundred thousand".