25258672000 has 128 divisors (see below), whose sum is σ = 63122904000. Its totient is φ = 10051430400.

The previous prime is 25258671989. The next prime is 25258672003. The reversal of 25258672000 is 27685252.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×25258672000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25258672003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3180034 + ... + 3187966.

Almost surely, 2^25258672000 is an apocalyptic number.

25258672000 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 25258672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31561452000).

25258672000 is an abundant number, since it is smaller than the sum of its proper divisors (37864232000).

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

25258672000 is an equidigital number, since it uses as much as digits as its factorization.

25258672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8161 (or 8139 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 25258672000 in words is "twenty-five billion, two hundred fifty-eight million, six hundred seventy-two thousand".