128626090268352 has 112 divisors (see below), whose sum is σ = 344544745910400. Its totient is φ = 42343878535168.

The previous prime is 128626090268339. The next prime is 128626090268399. The reversal of 128626090268352 is 253862090626821.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43886524 + ... + 46725572.

It is an arithmetic number, because the mean of its divisors is an integer number (3076292374200).

Almost surely, 2^{128626090268352} is an apocalyptic number.

128626090268352 is a gapful number since it is divisible by the number (12) 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 128626090268352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172272372955200).

128626090268352 is an abundant number, since it is smaller than the sum of its proper divisors (215918655642048).

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

128626090268352 is a wasteful number, since it uses less digits than its factorization.

128626090268352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841990 (or 2841980 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 128626090268352 in words is "one hundred twenty-eight trillion, six hundred twenty-six billion, ninety million, two hundred sixty-eight thousand, three hundred fifty-two".