128031786000 has 320 divisors, whose sum is σ = 459710933760. Its totient is φ = 34061990400.

The previous prime is 128031785983. The next prime is 128031786011. The reversal of 128031786000 is 687130821.

128031786000 is a `hidden beast` number, since 1 + 280 + 317 + 8 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25215462 + ... + 25220538.

It is an arithmetic number, because the mean of its divisors is an integer number (1436596668).

Almost surely, 2^128031786000 is an apocalyptic number.

128031786000 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 128031786000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229855466880).

128031786000 is an abundant number, since it is smaller than the sum of its proper divisors (331679147760).

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

128031786000 is a wasteful number, since it uses less digits than its factorization.

128031786000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 128031786000 in words is "one hundred twenty-eight billion, thirty-one million, seven hundred eighty-six thousand".