25063513200 has 720 divisors, whose sum is σ = 99736116480. Its totient is φ = 5773824000.

The previous prime is 25063513199. The next prime is 25063513207. The reversal of 25063513200 is 231536052.

25063513200 is a `hidden beast` number, since 2 + 5 + 0 + 635 + 1 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25063513207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69814621 + ... + 69814979.

It is an arithmetic number, because the mean of its divisors is an integer number (138522384).

Almost surely, 2^25063513200 is an apocalyptic number.

25063513200 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 25063513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49868058240).

25063513200 is an abundant number, since it is smaller than the sum of its proper divisors (74672603280).

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

25063513200 is a wasteful number, since it uses less digits than its factorization.

25063513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 25063513200 in words is "twenty-five billion, sixty-three million, five hundred thirteen thousand, two hundred".