256131072000 has 720 divisors, whose sum is σ = 959952985992. Its totient is φ = 67947724800.

The previous prime is 256131071981. The next prime is 256131072047. The reversal of 256131072000 is 270131652.

It is a happy number.

256131072000 is a `hidden beast` number, since 2 + 561 + 31 + 0 + 72 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45912489984 + 210218582016 = 214272^2 + 458496^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1327103904 + ... + 1327104096.

Almost surely, 2^256131072000 is an apocalyptic number.

256131072000 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 256131072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479976492996).

256131072000 is an abundant number, since it is smaller than the sum of its proper divisors (703821913992).

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

256131072000 is an frugal number, since it uses more digits than its factorization.

256131072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 256131072000 in words is "two hundred fifty-six billion, one hundred thirty-one million, seventy-two thousand".