25228797451200 has 3360 divisors, whose sum is σ = 118318327142400. Its totient is φ = 5141864448000.

The previous prime is 25228797451183. The next prime is 25228797451213. The reversal of 25228797451200 is 215479782252.

It is a happy number.

25228797451200 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 87 + 97 + 451 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 20494554585 + ... + 20494555815.

It is an arithmetic number, because the mean of its divisors is an integer number (35213787840).

Almost surely, 2^{25228797451200} is an apocalyptic number.

25228797451200 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 25228797451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59159163571200).

25228797451200 is an abundant number, since it is smaller than the sum of its proper divisors (93089529691200).

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

25228797451200 is a wasteful number, since it uses less digits than its factorization.

25228797451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 25228797451200 in words is "twenty-five trillion, two hundred twenty-eight billion, seven hundred ninety-seven million, four hundred fifty-one thousand, two hundred".