2025179285760 has 864 divisors, whose sum is σ = 7689507396480. Its totient is φ = 490089480192.

The previous prime is 2025179285741. The next prime is 2025179285771. The reversal of 2025179285760 is 675829715202.

2025179285760 is a `hidden beast` number, since 20 + 25 + 1 + 7 + 9 + 28 + 576 + 0 = 666.

It is a super-2 number, since 2×2025179285760² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2025179285697 and 2025179285706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 612390027 + ... + 612393333.

It is an arithmetic number, because the mean of its divisors is an integer number (8899892820).

Almost surely, 2^{2025179285760} is an apocalyptic number.

2025179285760 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 2025179285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844753698240).

2025179285760 is an abundant number, since it is smaller than the sum of its proper divisors (5664328110720).

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

2025179285760 is a wasteful number, since it uses less digits than its factorization.

2025179285760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 2025179285760 in words is "two trillion, twenty-five billion, one hundred seventy-nine million, two hundred eighty-five thousand, seven hundred sixty".