128059867853316 has 405 divisors, whose sum is σ = 384537208247829. Its totient is φ = 35931687220800.

The previous prime is 128059867853303. The next prime is 128059867853339. The reversal of 128059867853316 is 613358768950821.

The square root of 128059867853316 is 11316354.

It is a perfect power (a square), and thus also a powerful number.

128059867853316 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 5 + 9 + 8 + 6 + 78 + 533 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4164268747716 + 123895599105600 = 2040654^2 + 11130840^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 202947492321 + ... + 202947492951.

Almost surely, 2^{128059867853316} is an apocalyptic number.

128059867853316 is the 11316354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128059867853316

128059867853316 is an abundant number, since it is smaller than the sum of its proper divisors (256477340394513).

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

128059867853316 is an frugal number, since it uses more digits than its factorization.

128059867853316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 128059867853316 in words is "one hundred twenty-eight trillion, fifty-nine billion, eight hundred sixty-seven million, eight hundred fifty-three thousand, three hundred sixteen".