25365312000 has 960 divisors, whose sum is σ = 108744539904. Its totient is φ = 5772902400.

The previous prime is 25365311977. The next prime is 25365312017. The reversal of 25365312000 is 21356352.

25365312000 is a `hidden beast` number, since 2 + 5 + 3 + 653 + 1 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108863884 + ... + 108864116.

Almost surely, 2^25365312000 is an apocalyptic number.

25365312000 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 25365312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54372269952).

25365312000 is an abundant number, since it is smaller than the sum of its proper divisors (83379227904).

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

25365312000 is an frugal number, since it uses more digits than its factorization.

25365312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 250 counting only the distinct ones).

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

Adding to 25365312000 its reverse (21356352), we get a palindrome (25386668352).

The spelling of 25365312000 in words is "twenty-five billion, three hundred sixty-five million, three hundred twelve thousand".