2025998170560 has 672 divisors, whose sum is σ = 8953748838720. Its totient is φ = 427462189056.

The previous prime is 2025998170529. The next prime is 2025998170561. The reversal of 2025998170560 is 650718995202.

2025998170560 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 9 + 9 + 8 + 1 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2025998170560² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2025998170497 and 2025998170506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025998170561) 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, 5319622 + ... + 5687738.

It is an arithmetic number, because the mean of its divisors is an integer number (13324031010).

Almost surely, 2^{2025998170560} is an apocalyptic number.

2025998170560 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 2025998170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476874419360).

2025998170560 is an abundant number, since it is smaller than the sum of its proper divisors (6927750668160).

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

2025998170560 is a wasteful number, since it uses less digits than its factorization.

2025998170560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368170 (or 368147 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 2025998170560 in words is "two trillion, twenty-five billion, nine hundred ninety-eight million, one hundred seventy thousand, five hundred sixty".