25428224052 has 720 divisors, whose sum is σ = 89399833600. Its totient is φ = 6286896000.

The previous prime is 25428224027. The next prime is 25428224053. The reversal of 25428224052 is 25042282452.

25428224052 is a `hidden beast` number, since 2 + 5 + 428 + 224 + 0 + 5 + 2 = 666.

It is a super-2 number, since 2×25428224052² (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 a junction number, because it is equal to n+sod(n) for n = 25428223998 and 25428224016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25428224053) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 416856102 + ... + 416856162.

Almost surely, 2^25428224052 is an apocalyptic number.

25428224052 is a gapful number since it is divisible by the number (22) 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 25428224052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44699916800).

25428224052 is an abundant number, since it is smaller than the sum of its proper divisors (63971609548).

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

25428224052 is a wasteful number, since it uses less digits than its factorization.

25428224052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 25428224052 in words is "twenty-five billion, four hundred twenty-eight million, two hundred twenty-four thousand, fifty-two".