25998067200 has 720 divisors, whose sum is σ = 102645086544. Its totient is φ = 5780275200.

The previous prime is 25998067189. The next prime is 25998067201. The reversal of 25998067200 is 276089952.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25998067200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25998067201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77145432 + ... + 77145768.

Almost surely, 2^25998067200 is an apocalyptic number.

25998067200 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 25998067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51322543272).

25998067200 is an abundant number, since it is smaller than the sum of its proper divisors (76647019344).

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

25998067200 is a wasteful number, since it uses less digits than its factorization.

25998067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 25998067200 in words is "twenty-five billion, nine hundred ninety-eight million, sixty-seven thousand, two hundred".