256676772022272 has 1920 divisors, whose sum is σ = 918301248184320. Its totient is φ = 69909768437760.

The previous prime is 256676772022271. The next prime is 256676772022277. The reversal of 256676772022272 is 272220277676652.

256676772022272 is a `hidden beast` number, since 2 + 566 + 7 + 6 + 7 + 7 + 20 + 22 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (256676772022271) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 595537753897 + ... + 595537754327.

It is an arithmetic number, because the mean of its divisors is an integer number (478281900096).

Almost surely, 2^{256676772022272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256676772022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459150624092160).

256676772022272 is an abundant number, since it is smaller than the sum of its proper divisors (661624476162048).

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

256676772022272 is a wasteful number, since it uses less digits than its factorization.

256676772022272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 165957120, while the sum is 63.

The spelling of 256676772022272 in words is "two hundred fifty-six trillion, six hundred seventy-six billion, seven hundred seventy-two million, twenty-two thousand, two hundred seventy-two".