25145072000 has 128 divisors (see below), whose sum is σ = 65236017600. Its totient is φ = 9620582400.

The previous prime is 25145071997. The next prime is 25145072003. The reversal of 25145072000 is 27054152.

It is an interprime number because it is at equal distance from previous prime (25145071997) and next prime (25145072003).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25145072003) 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, 333836 + ... + 402164.

Almost surely, 2^25145072000 is an apocalyptic number.

25145072000 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 25145072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32618008800).

25145072000 is an abundant number, since it is smaller than the sum of its proper divisors (40090945600).

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

25145072000 is an equidigital number, since it uses as much as digits as its factorization.

25145072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68381 (or 68359 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The spelling of 25145072000 in words is "twenty-five billion, one hundred forty-five million, seventy-two thousand".