25958016000 has 1408 divisors, whose sum is σ = 116492313600. Its totient is φ = 5573836800.

The previous prime is 25958015987. The next prime is 25958016001. The reversal of 25958016000 is 61085952.

It is a happy number.

25958016000 is a `hidden beast` number, since 2 + 595 + 8 + 0 + 1 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25958016001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 701567982 + ... + 701568018.

Almost surely, 2^25958016000 is an apocalyptic number.

25958016000 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 25958016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58246156800).

25958016000 is an abundant number, since it is smaller than the sum of its proper divisors (90534297600).

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

25958016000 is a wasteful number, since it uses less digits than its factorization.

25958016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 25958016000 in words is "twenty-five billion, nine hundred fifty-eight million, sixteen thousand".