25884820080 has 800 divisors, whose sum is σ = 109895537664. Its totient is φ = 5518098432.

The previous prime is 25884820079. The next prime is 25884820081. The reversal of 25884820080 is 8002848852.

25884820080 is a `hidden beast` number, since 2 + 588 + 48 + 20 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25884820079) and next prime (25884820081).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25884820081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44860752 + ... + 44861328.

Almost surely, 2^25884820080 is an apocalyptic number.

25884820080 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 25884820080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54947768832).

25884820080 is an abundant number, since it is smaller than the sum of its proper divisors (84010717584).

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

25884820080 is a wasteful number, since it uses less digits than its factorization.

25884820080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 25884820080 in words is "twenty-five billion, eight hundred eighty-four million, eight hundred twenty thousand, eighty".