256142627758080 has 2240 divisors, whose sum is σ = 1071876521346048. Its totient is φ = 57307960442880.

The previous prime is 256142627758049. The next prime is 256142627758159. The reversal of 256142627758080 is 80857726241652.

256142627758080 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 4 + 26 + 27 + 7 + 580 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a junction number, because it is equal to n+sod(n) for n = 256142627757999 and 256142627758017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 268775054884 + ... + 268775055836.

Almost surely, 2^{256142627758080} is an apocalyptic number.

256142627758080 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 256142627758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535938260673024).

256142627758080 is an abundant number, since it is smaller than the sum of its proper divisors (815733893587968).

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

256142627758080 is an equidigital number, since it uses as much as digits as its factorization.

256142627758080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 256142627758080 in words is "two hundred fifty-six trillion, one hundred forty-two billion, six hundred twenty-seven million, seven hundred fifty-eight thousand, eighty".