25072220160 has 576 divisors, whose sum is σ = 99165306240. Its totient is φ = 5803868160.

The previous prime is 25072220149. The next prime is 25072220161. The reversal of 25072220160 is 6102227052.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25072220161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20366745 + ... + 20367975.

It is an arithmetic number, because the mean of its divisors is an integer number (172161990).

Almost surely, 2^25072220160 is an apocalyptic number.

25072220160 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 25072220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49582653120).

25072220160 is an abundant number, since it is smaller than the sum of its proper divisors (74093086080).

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

25072220160 is a wasteful number, since it uses less digits than its factorization.

25072220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 25072220160 in words is "twenty-five billion, seventy-two million, two hundred twenty thousand, one hundred sixty".