128675167920 has 480 divisors, whose sum is σ = 484953460992. Its totient is φ = 31520295936.

The previous prime is 128675167897. The next prime is 128675167927. The reversal of 128675167920 is 29761576821.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (128675167927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57366319 + ... + 57368561.

Almost surely, 2^128675167920 is an apocalyptic number.

128675167920 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 128675167920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242476730496).

128675167920 is an abundant number, since it is smaller than the sum of its proper divisors (356278293072).

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

128675167920 is a wasteful number, since it uses less digits than its factorization.

128675167920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 128675167920 in words is "one hundred twenty-eight billion, six hundred seventy-five million, one hundred sixty-seven thousand, nine hundred twenty".