25719482880 has 1600 divisors, whose sum is σ = 119782333440. Its totient is φ = 5127929856.

The previous prime is 25719482849. The next prime is 25719482891. The reversal of 25719482880 is 8828491752.

25719482880 is a `hidden beast` number, since 2 + 571 + 9 + 48 + 28 + 8 + 0 = 666.

It is a super-2 number, since 2×25719482880² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 547223017 + ... + 547223063.

Almost surely, 2^25719482880 is an apocalyptic number.

25719482880 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 25719482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59891166720).

25719482880 is an abundant number, since it is smaller than the sum of its proper divisors (94062850560).

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

25719482880 is a wasteful number, since it uses less digits than its factorization.

25719482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 25719482880 in words is "twenty-five billion, seven hundred nineteen million, four hundred eighty-two thousand, eight hundred eighty".