25285139424 has 288 divisors, whose sum is σ = 76674124800. Its totient is φ = 7887559680.

The previous prime is 25285139423. The next prime is 25285139437. The reversal of 25285139424 is 42493158252.

25285139424 is a `hidden beast` number, since 2 + 5 + 28 + 513 + 94 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×25285139424² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25285139424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25285139423) 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, 110415342 + ... + 110415570.

It is an arithmetic number, because the mean of its divisors is an integer number (266229600).

Almost surely, 2^25285139424 is an apocalyptic number.

25285139424 is a gapful number since it is divisible by the number (24) 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 25285139424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38337062400).

25285139424 is an abundant number, since it is smaller than the sum of its proper divisors (51388985376).

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

25285139424 is a wasteful number, since it uses less digits than its factorization.

25285139424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 547 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 25285139424 in words is "twenty-five billion, two hundred eighty-five million, one hundred thirty-nine thousand, four hundred twenty-four".