25782893136 has 640 divisors, whose sum is σ = 100460236800. Its totient is φ = 6113802240.

The previous prime is 25782893083. The next prime is 25782893179. The reversal of 25782893136 is 63139828752.

25782893136 is a `hidden beast` number, since 2 + 578 + 2 + 8 + 9 + 31 + 36 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47134815 + ... + 47135361.

It is an arithmetic number, because the mean of its divisors is an integer number (156969120).

Almost surely, 2^25782893136 is an apocalyptic number.

25782893136 is a gapful number since it is divisible by the number (26) 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 25782893136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50230118400).

25782893136 is an abundant number, since it is smaller than the sum of its proper divisors (74677343664).

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

25782893136 is a wasteful number, since it uses less digits than its factorization.

25782893136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 692 counting only the distinct ones).

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

The spelling of 25782893136 in words is "twenty-five billion, seven hundred eighty-two million, eight hundred ninety-three thousand, one hundred thirty-six".