254240005012000 has 192 divisors, whose sum is σ = 731318277231360. Its totient is φ = 85041952512000.

The previous prime is 254240005011997. The next prime is 254240005012069. The reversal of 254240005012000 is 210500042452.

It is a super-4 number, since 4×254240005012000⁴ (a number of 59 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109583710 + ... + 111879709.

It is an arithmetic number, because the mean of its divisors is an integer number (3808949360580).

Almost surely, 2^{254240005012000} is an apocalyptic number.

254240005012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254240005012000 is an abundant number, since it is smaller than the sum of its proper divisors (477078272219360).

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

254240005012000 is a wasteful number, since it uses less digits than its factorization.

254240005012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221463492 (or 221463474 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 254240005012000 its reverse (210500042452), we get a palindrome (254450505054452).

The spelling of 254240005012000 in words is "two hundred fifty-four trillion, two hundred forty billion, five million, twelve thousand".