255930156054144 has 960 divisors, whose sum is σ = 944373843816480. Its totient is φ = 67820878540800.

The previous prime is 255930156054071. The next prime is 255930156054271. The reversal of 255930156054144 is 441450651039552.

It is a happy number.

255930156054144 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 3 + 0 + 1 + 56 + 0 + 541 + 44 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 534988179 + ... + 535466349.

Almost surely, 2^{255930156054144} is an apocalyptic number.

255930156054144 is a gapful number since it is divisible by the number (24) 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 255930156054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472186921908240).

255930156054144 is an abundant number, since it is smaller than the sum of its proper divisors (688443687762336).

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

255930156054144 is a wasteful number, since it uses less digits than its factorization.

255930156054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478259 (or 478219 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 255930156054144 in words is "two hundred fifty-five trillion, nine hundred thirty billion, one hundred fifty-six million, fifty-four thousand, one hundred forty-four".