256062051234000 has 1920 divisors, whose sum is σ = 1045667723982336. Its totient is φ = 57712435200000.

The previous prime is 256062051233953. The next prime is 256062051234001. The reversal of 256062051234000 is 432150260652.

256062051234000 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 620 + 5 + 1 + 23 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256062051234001) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 289990997559 + ... + 289990998441.

Almost surely, 2^{256062051234000} is an apocalyptic number.

256062051234000 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 256062051234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522833861991168).

256062051234000 is an abundant number, since it is smaller than the sum of its proper divisors (789605672748336).

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

256062051234000 is a wasteful number, since it uses less digits than its factorization.

256062051234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 256062051234000 in words is "two hundred fifty-six trillion, sixty-two billion, fifty-one million, two hundred thirty-four thousand".