25449810480 has 240 divisors, whose sum is σ = 87572028960. Its totient is φ = 6621376512.

The previous prime is 25449810473. The next prime is 25449810487. The reversal of 25449810480 is 8401894452.

25449810480 is a `hidden beast` number, since 2 + 54 + 49 + 81 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (25449810473) and next prime (25449810487).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25449810487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5817574 + ... + 5821946.

It is an arithmetic number, because the mean of its divisors is an integer number (364883454).

Almost surely, 2^25449810480 is an apocalyptic number.

25449810480 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 25449810480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43786014480).

25449810480 is an abundant number, since it is smaller than the sum of its proper divisors (62122218480).

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

25449810480 is a wasteful number, since it uses less digits than its factorization.

25449810480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4588 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 25449810480 in words is "twenty-five billion, four hundred forty-nine million, eight hundred ten thousand, four hundred eighty".