25025025002784 has 192 divisors, whose sum is σ = 66336892917120. Its totient is φ = 8260037959680.

The previous prime is 25025025002773. The next prime is 25025025002837. The reversal of 25025025002784 is 48720052052052.

It is a super-3 number, since 3×25025025002784³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6025768452 + ... + 6025772604.

It is an arithmetic number, because the mean of its divisors is an integer number (345504650610).

Almost surely, 2^{25025025002784} is an apocalyptic number.

25025025002784 is a gapful number since it is divisible by the number (24) 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 25025025002784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33168446458560).

25025025002784 is an abundant number, since it is smaller than the sum of its proper divisors (41311867914336).

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

25025025002784 is a wasteful number, since it uses less digits than its factorization.

25025025002784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 42.

The spelling of 25025025002784 in words is "twenty-five trillion, twenty-five billion, twenty-five million, two thousand, seven hundred eighty-four".