2128587019520 has 288 divisors, whose sum is σ = 5581733942400. Its totient is φ = 773035425792.

The previous prime is 2128587019501. The next prime is 2128587019541. The reversal of 2128587019520 is 259107858212.

It is a super-2 number, since 2×2128587019520² (a number of 25 digits) contains 22 as substring.

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, 252108419 + ... + 252116861.

Almost surely, 2^{2128587019520} is an apocalyptic number.

2128587019520 is a gapful number since it is divisible by the number (20) 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 2128587019520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790866971200).

2128587019520 is an abundant number, since it is smaller than the sum of its proper divisors (3453146922880).

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

2128587019520 is a wasteful number, since it uses less digits than its factorization.

2128587019520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8725 (or 8711 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 50.

The spelling of 2128587019520 in words is "two trillion, one hundred twenty-eight billion, five hundred eighty-seven million, nineteen thousand, five hundred twenty".