128942191872 has 864 divisors, whose sum is σ = 448855924608. Its totient is φ = 36564369408.

The previous prime is 128942191853. The next prime is 128942191883. The reversal of 128942191872 is 278191249821.

128942191872 is a `hidden beast` number, since 128 + 9 + 421 + 91 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1141081288 + ... + 1141081400.

It is an arithmetic number, because the mean of its divisors is an integer number (519509172).

Almost surely, 2^128942191872 is an apocalyptic number.

128942191872 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 128942191872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224427962304).

128942191872 is an abundant number, since it is smaller than the sum of its proper divisors (319913732736).

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

128942191872 is a wasteful number, since it uses less digits than its factorization.

128942191872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 231 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 128942191872 in words is "one hundred twenty-eight billion, nine hundred forty-two million, one hundred ninety-one thousand, eight hundred seventy-two".