128931762960 has 1800 divisors, whose sum is σ = 613506358080. Its totient is φ = 24552253440.

The previous prime is 128931762943. The next prime is 128931763013. The reversal of 128931762960 is 69267139821.

128931762960 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 3 + 1 + 7 + 629 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 128931762897 and 128931762906.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 927566571 + ... + 927566709.

Almost surely, 2^128931762960 is an apocalyptic number.

128931762960 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 128931762960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306753179040).

128931762960 is an abundant number, since it is smaller than the sum of its proper divisors (484574595120).

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

128931762960 is a wasteful number, since it uses less digits than its factorization.

128931762960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 128931762960 in words is "one hundred twenty-eight billion, nine hundred thirty-one million, seven hundred sixty-two thousand, nine hundred sixty".