256127541480 has 512 divisors, whose sum is σ = 913835520000. Its totient is φ = 63625595904.

The previous prime is 256127541457. The next prime is 256127541493. The reversal of 256127541480 is 84145721652.

256127541480 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 27 + 541 + 4 + 80 = 666.

256127541480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 378326902 + ... + 378327578.

It is an arithmetic number, because the mean of its divisors is an integer number (1784835000).

Almost surely, 2^256127541480 is an apocalyptic number.

256127541480 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 256127541480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456917760000).

256127541480 is an abundant number, since it is smaller than the sum of its proper divisors (657707978520).

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

256127541480 is a wasteful number, since it uses less digits than its factorization.

256127541480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 256127541480 in words is "two hundred fifty-six billion, one hundred twenty-seven million, five hundred forty-one thousand, four hundred eighty".