25013464200 has 240 divisors, whose sum is σ = 87323280000. Its totient is φ = 6635882880.

The previous prime is 25013464169. The next prime is 25013464277. The reversal of 25013464200 is 246431052.

25013464200 is a `hidden beast` number, since 2 + 5 + 0 + 13 + 4 + 642 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3219921 + ... + 3227679.

It is an arithmetic number, because the mean of its divisors is an integer number (363847000).

Almost surely, 2^25013464200 is an apocalyptic number.

25013464200 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 25013464200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43661640000).

25013464200 is an abundant number, since it is smaller than the sum of its proper divisors (62309815800).

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

25013464200 is a wasteful number, since it uses less digits than its factorization.

25013464200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7986 (or 7968 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 25013464200 its reverse (246431052), we get a palindrome (25259895252).

The spelling of 25013464200 in words is "twenty-five billion, thirteen million, four hundred sixty-four thousand, two hundred".