128991586752 has 224 divisors, whose sum is σ = 439491363840. Its totient is φ = 36335416320.

The previous prime is 128991586709. The next prime is 128991586819. The reversal of 128991586752 is 257685199821.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 128991586752.

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, 783718 + ... + 933914.

Almost surely, 2^128991586752 is an apocalyptic number.

128991586752 is a gapful number since it is divisible by the number (12) 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 128991586752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219745681920).

128991586752 is an abundant number, since it is smaller than the sum of its proper divisors (310499777088).

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

128991586752 is a wasteful number, since it uses less digits than its factorization.

128991586752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150296 (or 150280 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 63.

The spelling of 128991586752 in words is "one hundred twenty-eight billion, nine hundred ninety-one million, five hundred eighty-six thousand, seven hundred fifty-two".