256541154000 has 320 divisors, whose sum is σ = 871998117120. Its totient is φ = 64707840000.

The previous prime is 256541153977. The next prime is 256541154013. The reversal of 256541154000 is 451145652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93592630 + ... + 93595370.

It is an arithmetic number, because the mean of its divisors is an integer number (2724994116).

Almost surely, 2^256541154000 is an apocalyptic number.

256541154000 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 256541154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435999058560).

256541154000 is an abundant number, since it is smaller than the sum of its proper divisors (615456963120).

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

256541154000 is a wasteful number, since it uses less digits than its factorization.

256541154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 256541154000 its reverse (451145652), we get a palindrome (256992299652).

It can be divided in two parts, 2565 and 41154000, that multiplied together give a 4-th power (105560010000 = 570⁴).

The spelling of 256541154000 in words is "two hundred fifty-six billion, five hundred forty-one million, one hundred fifty-four thousand".