256092645600 has 432 divisors, whose sum is σ = 1021637111040. Its totient is φ = 62082547200.

The previous prime is 256092645593. The next prime is 256092645647. The reversal of 256092645600 is 6546290652.

It is a happy number.

256092645600 is a `hidden beast` number, since 2 + 5 + 60 + 9 + 26 + 4 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2078521 + ... + 2198279.

It is an arithmetic number, because the mean of its divisors is an integer number (2364900720).

Almost surely, 2^256092645600 is an apocalyptic number.

256092645600 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 256092645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510818555520).

256092645600 is an abundant number, since it is smaller than the sum of its proper divisors (765544465440).

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

256092645600 is a wasteful number, since it uses less digits than its factorization.

256092645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119805 (or 119780 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 256092645600 in words is "two hundred fifty-six billion, ninety-two million, six hundred forty-five thousand, six hundred".