128286705642480 has 1920 divisors, whose sum is σ = 592047570816000. Its totient is φ = 25177578209280.

The previous prime is 128286705642467. The next prime is 128286705642539. The reversal of 128286705642480 is 84246507682821.

It is a happy number.

128286705642480 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 8 + 67 + 0 + 56 + 42 + 480 = 666.

It is a super-3 number, since 3×128286705642480³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7454620116 + ... + 7454637324.

It is an arithmetic number, because the mean of its divisors is an integer number (308358109800).

Almost surely, 2^{128286705642480} is an apocalyptic number.

128286705642480 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 128286705642480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296023785408000).

128286705642480 is an abundant number, since it is smaller than the sum of its proper divisors (463760865173520).

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

128286705642480 is a wasteful number, since it uses less digits than its factorization.

128286705642480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17612 (or 17593 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 128286705642480 in words is "one hundred twenty-eight trillion, two hundred eighty-six billion, seven hundred five million, six hundred forty-two thousand, four hundred eighty".