256374720000 has 1400 divisors, whose sum is σ = 1103808930576. Its totient is φ = 58226688000.

The previous prime is 256374719989. The next prime is 256374720001. The reversal of 256374720000 is 27473652.

It is a happy number.

256374720000 is a `hidden beast` number, since 2 + 563 + 74 + 7 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1400).

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 (256374720001) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 1632959922 + ... + 1632960078.

Almost surely, 2^256374720000 is an apocalyptic number.

256374720000 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 256374720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551904465288).

256374720000 is an abundant number, since it is smaller than the sum of its proper divisors (847434210576).

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

256374720000 is an frugal number, since it uses more digits than its factorization.

256374720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 256374720000 in words is "two hundred fifty-six billion, three hundred seventy-four million, seven hundred twenty thousand".