25416224460 has 144 divisors (see below), whose sum is σ = 84641330592. Its totient is φ = 6122188800.

The previous prime is 25416224443. The next prime is 25416224467. The reversal of 25416224460 is 6442261452.

25416224460 is a `hidden beast` number, since 2 + 54 + 162 + 2 + 446 + 0 = 666.

It is a super-2 number, since 2×25416224460² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (25416224467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269980 + ... + 351740.

It is an arithmetic number, because the mean of its divisors is an integer number (587787018).

Almost surely, 2^25416224460 is an apocalyptic number.

25416224460 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 25416224460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42320665296).

25416224460 is an abundant number, since it is smaller than the sum of its proper divisors (59225106132).

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

25416224460 is a wasteful number, since it uses less digits than its factorization.

25416224460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81944 (or 81939 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 25416224460 in words is "twenty-five billion, four hundred sixteen million, two hundred twenty-four thousand, four hundred sixty".