25884012000 has 768 divisors, whose sum is σ = 107104757760. Its totient is φ = 5308416000.

The previous prime is 25884011987. The next prime is 25884012019. The reversal of 25884012000 is 21048852.

It is a super-2 number, since 2×25884012000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100715872 + ... + 100716128.

It is an arithmetic number, because the mean of its divisors is an integer number (139459320).

Almost surely, 2^25884012000 is an apocalyptic number.

25884012000 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 25884012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53552378880).

25884012000 is an abundant number, since it is smaller than the sum of its proper divisors (81220745760).

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

25884012000 is a wasteful number, since it uses less digits than its factorization.

25884012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 25884012000 in words is "twenty-five billion, eight hundred eighty-four million, twelve thousand".