25238220480 has 672 divisors, whose sum is σ = 98414604288. Its totient is φ = 5883494400.

The previous prime is 25238220443. The next prime is 25238220481. The reversal of 25238220480 is 8402283252.

25238220480 is a `hidden beast` number, since 252 + 382 + 20 + 4 + 8 + 0 = 666.

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 (25238220481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132137185 + ... + 132137375.

It is an arithmetic number, because the mean of its divisors is an integer number (146450304).

Almost surely, 2^25238220480 is an apocalyptic number.

25238220480 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 25238220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49207302144).

25238220480 is an abundant number, since it is smaller than the sum of its proper divisors (73176383808).

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

25238220480 is a wasteful number, since it uses less digits than its factorization.

25238220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

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

The spelling of 25238220480 in words is "twenty-five billion, two hundred thirty-eight million, two hundred twenty thousand, four hundred eighty".