25796585160 has 160 divisors (see below), whose sum is σ = 86770474560. Its totient is φ = 6873911424.

The previous prime is 25796585147. The next prime is 25796585183. The reversal of 25796585160 is 6158569752.

25796585160 is a `hidden beast` number, since 2 + 5 + 79 + 6 + 58 + 516 + 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 = 25796585097 and 25796585106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6435877 + ... + 6439883.

It is an arithmetic number, because the mean of its divisors is an integer number (542315466).

Almost surely, 2^25796585160 is an apocalyptic number.

25796585160 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 25796585160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43385237280).

25796585160 is an abundant number, since it is smaller than the sum of its proper divisors (60973889400).

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

25796585160 is a wasteful number, since it uses less digits than its factorization.

25796585160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6017 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 25796585160 in words is "twenty-five billion, seven hundred ninety-six million, five hundred eighty-five thousand, one hundred sixty".