2128528765440 has 3840 divisors, whose sum is σ = 10532925849600. Its totient is φ = 401316249600.

The previous prime is 2128528765399. The next prime is 2128528765453. The reversal of 2128528765440 is 445678258212.

2128528765440 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 5 + 28 + 76 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21943595472 + ... + 21943595568.

It is an arithmetic number, because the mean of its divisors is an integer number (2742949440).

Almost surely, 2^{2128528765440} is an apocalyptic number.

2128528765440 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 2128528765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266462924800).

2128528765440 is an abundant number, since it is smaller than the sum of its proper divisors (8404397084160).

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

2128528765440 is a wasteful number, since it uses less digits than its factorization.

2128528765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 2128528765440 in words is "two trillion, one hundred twenty-eight billion, five hundred twenty-eight million, seven hundred sixty-five thousand, four hundred forty".