25480949760 has 832 divisors, whose sum is σ = 107570764800. Its totient is φ = 5598609408.

The previous prime is 25480949737. The next prime is 25480949797. The reversal of 25480949760 is 6794908452.

25480949760 is a `hidden beast` number, since 2 + 5 + 480 + 94 + 9 + 76 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 25480949697 and 25480949706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112250767 + ... + 112250993.

Almost surely, 2^25480949760 is an apocalyptic number.

25480949760 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 25480949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53785382400).

25480949760 is an abundant number, since it is smaller than the sum of its proper divisors (82089815040).

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

25480949760 is a wasteful number, since it uses less digits than its factorization.

25480949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 25480949760 in words is "twenty-five billion, four hundred eighty million, nine hundred forty-nine thousand, seven hundred sixty".