254952023158560 has 1152 divisors, whose sum is σ = 1010096102373120. Its totient is φ = 53577806413824.

The previous prime is 254952023158541. The next prime is 254952023158583. The reversal of 254952023158560 is 65851320259452.

It is a happy number.

It is a super-2 number, since 2×254952023158560² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 254952023158560.

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 191 ways as a sum of consecutive naturals, for example, 109280763154 + ... + 109280765486.

It is an arithmetic number, because the mean of its divisors is an integer number (876819533310).

Almost surely, 2^{254952023158560} is an apocalyptic number.

254952023158560 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 254952023158560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505048051186560).

254952023158560 is an abundant number, since it is smaller than the sum of its proper divisors (755144079214560).

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

254952023158560 is a wasteful number, since it uses less digits than its factorization.

254952023158560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 57.

The spelling of 254952023158560 in words is "two hundred fifty-four trillion, nine hundred fifty-two billion, twenty-three million, one hundred fifty-eight thousand, five hundred sixty".