256379120186112 has 2304 divisors, whose sum is σ = 1018527264276480. Its totient is φ = 61677158400000.

The previous prime is 256379120186053. The next prime is 256379120186117. The reversal of 256379120186112 is 211681021973652.

256379120186112 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 7 + 9 + 1 + 2 + 0 + 18 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (256379120186117) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35852201737 + ... + 35852208887.

It is an arithmetic number, because the mean of its divisors is an integer number (442069125120).

Almost surely, 2^{256379120186112} is an apocalyptic number.

256379120186112 is a gapful number since it is divisible by the number (22) 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 256379120186112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509263632138240).

256379120186112 is an abundant number, since it is smaller than the sum of its proper divisors (762148144090368).

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

256379120186112 is a wasteful number, since it uses less digits than its factorization.

256379120186112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7319 (or 7299 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 256379120186112 in words is "two hundred fifty-six trillion, three hundred seventy-nine billion, one hundred twenty million, one hundred eighty-six thousand, one hundred twelve".