128672022528000 has 3168 divisors, whose sum is σ = 579541046797440. Its totient is φ = 27862813900800.

The previous prime is 128672022527977. The next prime is 128672022528041. The reversal of 128672022528000 is 825220276821.

128672022528000 is a `hidden beast` number, since 1 + 2 + 86 + 7 + 20 + 22 + 528 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×128672022528000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 6772211711991 + ... + 6772211712009.

Almost surely, 2^{128672022528000} is an apocalyptic number.

128672022528000 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 128672022528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289770523398720).

128672022528000 is an abundant number, since it is smaller than the sum of its proper divisors (450869024269440).

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

128672022528000 is an frugal number, since it uses more digits than its factorization.

128672022528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 128672022528000 in words is "one hundred twenty-eight trillion, six hundred seventy-two billion, twenty-two million, five hundred twenty-eight thousand".