128767860000 has 1440 divisors, whose sum is σ = 544570931520. Its totient is φ = 29472768000.

The previous prime is 128767859999. The next prime is 128767860079. The reversal of 128767860000 is 68767821.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1551419959 + ... + 1551420041.

It is an arithmetic number, because the mean of its divisors is an integer number (378174258).

Almost surely, 2^128767860000 is an apocalyptic number.

128767860000 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 128767860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272285465760).

128767860000 is an abundant number, since it is smaller than the sum of its proper divisors (415803071520).

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

128767860000 is a wasteful number, since it uses less digits than its factorization.

128767860000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 128767860000 in words is "one hundred twenty-eight billion, seven hundred sixty-seven million, eight hundred sixty thousand".