128213729280 has 1440 divisors, whose sum is σ = 575650656000. Its totient is φ = 27051687936.

The previous prime is 128213729201. The next prime is 128213729311. The reversal of 128213729280 is 82927312821.

128213729280 is a `hidden beast` number, since 1 + 282 + 1 + 3 + 7 + 292 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 9862594554 + ... + 9862594566.

It is an arithmetic number, because the mean of its divisors is an integer number (399757400).

Almost surely, 2^128213729280 is an apocalyptic number.

128213729280 is a gapful number since it is divisible by the number (10) 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 128213729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287825328000).

128213729280 is an abundant number, since it is smaller than the sum of its proper divisors (447436926720).

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

128213729280 is an frugal number, since it uses more digits than its factorization.

128213729280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 128213729280 in words is "one hundred twenty-eight billion, two hundred thirteen million, seven hundred twenty-nine thousand, two hundred eighty".