128687793984 has 224 divisors, whose sum is σ = 381134355840. Its totient is φ = 42578141184.

The previous prime is 128687793977. The next prime is 128687794049. The reversal of 128687793984 is 489397786821.

128687793984 is a `hidden beast` number, since 12 + 86 + 87 + 79 + 398 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219229339 + ... + 219229925.

It is an arithmetic number, because the mean of its divisors is an integer number (1701492660).

Almost surely, 2^128687793984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128687793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190567177920).

128687793984 is an abundant number, since it is smaller than the sum of its proper divisors (252446561856).

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

128687793984 is a wasteful number, since it uses less digits than its factorization.

128687793984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1318 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 128687793984 in words is "one hundred twenty-eight billion, six hundred eighty-seven million, seven hundred ninety-three thousand, nine hundred eighty-four".