25280038224 has 640 divisors, whose sum is σ = 93936844800. Its totient is φ = 6340239360.

The previous prime is 25280038219. The next prime is 25280038237. The reversal of 25280038224 is 42283008252.

25280038224 is a `hidden beast` number, since 252 + 8 + 0 + 0 + 382 + 24 = 666.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46215519 + ... + 46216065.

It is an arithmetic number, because the mean of its divisors is an integer number (146776320).

Almost surely, 2^25280038224 is an apocalyptic number.

25280038224 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 25280038224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46968422400).

25280038224 is an abundant number, since it is smaller than the sum of its proper divisors (68656806576).

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

25280038224 is a wasteful number, since it uses less digits than its factorization.

25280038224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 636 counting only the distinct ones).

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

The spelling of 25280038224 in words is "twenty-five billion, two hundred eighty million, thirty-eight thousand, two hundred twenty-four".