25480761546240 has 7200 divisors, whose sum is σ = 133869591440640. Its totient is φ = 4564972339200.

The previous prime is 25480761546209. The next prime is 25480761546241. The reversal of 25480761546240 is 4264516708452.

25480761546240 is a `hidden beast` number, since 2 + 5 + 4 + 8 + 0 + 7 + 6 + 1 + 5 + 4 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25480761546241) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 358883965405 + ... + 358883965475.

Almost surely, 2^{25480761546240} is an apocalyptic number.

25480761546240 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 25480761546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66934795720320).

25480761546240 is an abundant number, since it is smaller than the sum of its proper divisors (108388829894400).

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

25480761546240 is a wasteful number, since it uses less digits than its factorization.

25480761546240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 25480761546240 in words is "twenty-five trillion, four hundred eighty billion, seven hundred sixty-one million, five hundred forty-six thousand, two hundred forty".