255154424451552 has 192 divisors, whose sum is σ = 746994966681600. Its totient is φ = 84732652730880.

The previous prime is 255154424451517. The next prime is 255154424451571.

255154424451552 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 5 + 4 + 42 + 4 + 45 + 1 + 552 = 666.

255154424451552 is nontrivially palindromic in base 10.

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

It is a congruent number.

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, 263959449 + ... + 264924327.

It is an arithmetic number, because the mean of its divisors is an integer number (3890598784800).

Almost surely, 2^{255154424451552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255154424451552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373497483340800).

255154424451552 is an abundant number, since it is smaller than the sum of its proper divisors (491840542230048).

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

255154424451552 is a wasteful number, since it uses less digits than its factorization.

255154424451552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966046 (or 966032 counting only the distinct ones).

The product of its digits is 32000000, while the sum is 54.

The spelling of 255154424451552 in words is "two hundred fifty-five trillion, one hundred fifty-four billion, four hundred twenty-four million, four hundred fifty-one thousand, five hundred fifty-two".