25380241920 has 480 divisors, whose sum is σ = 99468008640. Its totient is φ = 6151127040.

The previous prime is 25380241907. The next prime is 25380241937. The reversal of 25380241920 is 2914208352.

It is a happy number.

25380241920 is a `hidden beast` number, since 253 + 80 + 241 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6841026 + ... + 6844734.

It is an arithmetic number, because the mean of its divisors is an integer number (207225018).

Almost surely, 2^25380241920 is an apocalyptic number.

25380241920 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 25380241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49734004320).

25380241920 is an abundant number, since it is smaller than the sum of its proper divisors (74087766720).

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

25380241920 is an equidigital number, since it uses as much as digits as its factorization.

25380241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 25380241920 in words is "twenty-five billion, three hundred eighty million, two hundred forty-one thousand, nine hundred twenty".