25428224016 has 180 divisors, whose sum is σ = 77415210288. Its totient is φ = 7787909376.

The previous prime is 25428223981. The next prime is 25428224027. The reversal of 25428224016 is 61042282452.

25428224016 is a `hidden beast` number, since 2 + 5 + 428 + 224 + 0 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5521971 + ... + 5526573.

Almost surely, 2^25428224016 is an apocalyptic number.

25428224016 is a gapful number since it is divisible by the number (26) 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 25428224016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707605144).

25428224016 is an abundant number, since it is smaller than the sum of its proper divisors (51986986272).

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

25428224016 is a wasteful number, since it uses less digits than its factorization.

25428224016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 25428224016 in words is "twenty-five billion, four hundred twenty-eight million, two hundred twenty-four thousand, sixteen".