25151212800 has 1080 divisors, whose sum is σ = 110405433600. Its totient is φ = 5527388160.

The previous prime is 25151212799. The next prime is 25151212811. The reversal of 25151212800 is 821215152.

It is a happy number.

25151212800 is a `hidden beast` number, since 2 + 515 + 121 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 105235081 + ... + 105235319.

Almost surely, 2^25151212800 is an apocalyptic number.

25151212800 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 25151212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55202716800).

25151212800 is an abundant number, since it is smaller than the sum of its proper divisors (85254220800).

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

25151212800 is a wasteful number, since it uses less digits than its factorization.

25151212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 25151212800 its reverse (821215152), we get a palindrome (25972427952).

The spelling of 25151212800 in words is "twenty-five billion, one hundred fifty-one million, two hundred twelve thousand, eight hundred".