25376468480 has 480 divisors, whose sum is σ = 72884085120. Its totient is φ = 8434483200.

The previous prime is 25376468461. The next prime is 25376468521. The reversal of 25376468480 is 8486467352.

It is a happy number.

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, 321221081 + ... + 321221159.

It is an arithmetic number, because the mean of its divisors is an integer number (151841844).

Almost surely, 2^25376468480 is an apocalyptic number.

25376468480 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 25376468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36442042560).

25376468480 is an abundant number, since it is smaller than the sum of its proper divisors (47507616640).

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

25376468480 is a wasteful number, since it uses less digits than its factorization.

25376468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 53.

The spelling of 25376468480 in words is "twenty-five billion, three hundred seventy-six million, four hundred sixty-eight thousand, four hundred eighty".