25022080512 has 720 divisors, whose sum is σ = 89716543488. Its totient is φ = 6642155520.

The previous prime is 25022080493. The next prime is 25022080541. The reversal of 25022080512 is 21508022052.

25022080512 is a `hidden beast` number, since 2 + 50 + 2 + 20 + 80 + 512 = 666.

It is a super-3 number, since 3×25022080512³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 197024193 + ... + 197024319.

Almost surely, 2^25022080512 is an apocalyptic number.

25022080512 is a gapful number since it is divisible by the number (22) 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 25022080512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44858271744).

25022080512 is an abundant number, since it is smaller than the sum of its proper divisors (64694462976).

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

25022080512 is a wasteful number, since it uses less digits than its factorization.

25022080512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 25022080512 in words is "twenty-five billion, twenty-two million, eighty thousand, five hundred twelve".