2025600255360 has 768 divisors, whose sum is σ = 8257350366720. Its totient is φ = 469695283200.

The previous prime is 2025600255347. The next prime is 2025600255361. The reversal of 2025600255360 is 635520065202.

2025600255360 is a `hidden beast` number, since 2 + 0 + 25 + 600 + 25 + 5 + 3 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025600255361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39320820 + ... + 39372300.

It is an arithmetic number, because the mean of its divisors is an integer number (10751758290).

Almost surely, 2^{2025600255360} is an apocalyptic number.

2025600255360 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 2025600255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128675183360).

2025600255360 is an abundant number, since it is smaller than the sum of its proper divisors (6231750111360).

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

2025600255360 is a wasteful number, since it uses less digits than its factorization.

2025600255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51549 (or 51525 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 2025600255360 in words is "two trillion, twenty-five billion, six hundred million, two hundred fifty-five thousand, three hundred sixty".