128267257337856 has 432 divisors, whose sum is σ = 464092023376800. Its totient is φ = 33828724113408.

The previous prime is 128267257337833. The next prime is 128267257337873. The reversal of 128267257337856 is 658733752762821.

128267257337856 is a `hidden beast` number, since 1 + 2 + 8 + 267 + 25 + 7 + 337 + 8 + 5 + 6 = 666.

It is a super-2 number, since 2×128267257337856² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6278905 + ... + 17203463.

It is an arithmetic number, because the mean of its divisors is an integer number (1074287091150).

Almost surely, 2^{128267257337856} is an apocalyptic number.

128267257337856 is a gapful number since it is divisible by the number (16) 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 128267257337856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232046011688400).

128267257337856 is an abundant number, since it is smaller than the sum of its proper divisors (335824766038944).

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

128267257337856 is a wasteful number, since it uses less digits than its factorization.

128267257337856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10924614 (or 10924584 counting only the distinct ones).

The product of its digits is 1422489600, while the sum is 72.

The spelling of 128267257337856 in words is "one hundred twenty-eight trillion, two hundred sixty-seven billion, two hundred fifty-seven million, three hundred thirty-seven thousand, eight hundred fifty-six".