128571311738208 has 192 divisors, whose sum is σ = 352562177802240. Its totient is φ = 40948541872128.

The previous prime is 128571311738171. The next prime is 128571311738227. The reversal of 128571311738208 is 802837113175821.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12688370710 + ... + 12688380842.

It is an arithmetic number, because the mean of its divisors is an integer number (1836261342720).

Almost surely, 2^{128571311738208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128571311738208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176281088901120).

128571311738208 is an abundant number, since it is smaller than the sum of its proper divisors (223990866064032).

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

128571311738208 is a wasteful number, since it uses less digits than its factorization.

128571311738208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15941 (or 15933 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 57.

The spelling of 128571311738208 in words is "one hundred twenty-eight trillion, five hundred seventy-one billion, three hundred eleven million, seven hundred thirty-eight thousand, two hundred eight".