2425113583200 has 576 divisors, whose sum is σ = 10935065111040. Its totient is φ = 503919360000.

The previous prime is 2425113583183. The next prime is 2425113583223. The reversal of 2425113583200 is 23853115242.

2425113583200 is a `hidden beast` number, since 2 + 4 + 2 + 51 + 1 + 3 + 583 + 20 + 0 = 666.

It is a super-2 number, since 2×2425113583200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 934150 + ... + 2392250.

It is an arithmetic number, because the mean of its divisors is an integer number (18984488040).

Almost surely, 2^{2425113583200} is an apocalyptic number.

2425113583200 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 2425113583200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5467532555520).

2425113583200 is an abundant number, since it is smaller than the sum of its proper divisors (8509951527840).

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

2425113583200 is a wasteful number, since it uses less digits than its factorization.

2425113583200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458148 (or 1458129 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 2425113583200 its reverse (23853115242), we get a palindrome (2448966698442).

The spelling of 2425113583200 in words is "two trillion, four hundred twenty-five billion, one hundred thirteen million, five hundred eighty-three thousand, two hundred".