25998336000 has 1344 divisors, whose sum is σ = 119077410816. Its totient is φ = 5308416000.

The previous prime is 25998335999. The next prime is 25998336041. The reversal of 25998336000 is 63389952.

25998336000 is a `hidden beast` number, since 2 + 5 + 9 + 9 + 8 + 33 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 838655985 + ... + 838656015.

It is an arithmetic number, because the mean of its divisors is an integer number (88599264).

Almost surely, 2^25998336000 is an apocalyptic number.

25998336000 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 25998336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59538705408).

25998336000 is an abundant number, since it is smaller than the sum of its proper divisors (93079074816).

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

25998336000 is a wasteful number, since it uses less digits than its factorization.

25998336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 25998336000 in words is "twenty-five billion, nine hundred ninety-eight million, three hundred thirty-six thousand".