25882409520 has 800 divisors, whose sum is σ = 106948512000. Its totient is φ = 5730600960.

The previous prime is 25882409507. The next prime is 25882409533. The reversal of 25882409520 is 2590428852.

25882409520 is a `hidden beast` number, since 2 + 5 + 8 + 82 + 40 + 9 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (25882409507) and next prime (25882409533).

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

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, 39274951 + ... + 39275609.

It is an arithmetic number, because the mean of its divisors is an integer number (133685640).

Almost surely, 2^25882409520 is an apocalyptic number.

25882409520 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 25882409520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53474256000).

25882409520 is an abundant number, since it is smaller than the sum of its proper divisors (81066102480).

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

25882409520 is a wasteful number, since it uses less digits than its factorization.

25882409520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 25882409520 in words is "twenty-five billion, eight hundred eighty-two million, four hundred nine thousand, five hundred twenty".