2625889728000 has 1920 divisors, whose sum is σ = 11177022624768. Its totient is φ = 535265280000.

The previous prime is 2625889727927. The next prime is 2625889728047. The reversal of 2625889728000 is 8279885262.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10895807880 + ... + 10895808120.

Almost surely, 2^{2625889728000} is an apocalyptic number.

2625889728000 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 2625889728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588511312384).

2625889728000 is an abundant number, since it is smaller than the sum of its proper divisors (8551132896768).

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

2625889728000 is a wasteful number, since it uses less digits than its factorization.

2625889728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 2625889728000 in words is "two trillion, six hundred twenty-five billion, eight hundred eighty-nine million, seven hundred twenty-eight thousand".