25828431660 has 192 divisors, whose sum is σ = 85849075200. Its totient is φ = 6427517184.

The previous prime is 25828431649. The next prime is 25828431661. The reversal of 25828431660 is 6613482852.

25828431660 is a `hidden beast` number, since 2 + 58 + 284 + 316 + 6 + 0 = 666.

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 (25828431661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 668634 + ... + 706206.

It is an arithmetic number, because the mean of its divisors is an integer number (447130600).

Almost surely, 2^25828431660 is an apocalyptic number.

25828431660 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 25828431660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42924537600).

25828431660 is an abundant number, since it is smaller than the sum of its proper divisors (60020643540).

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

25828431660 is a wasteful number, since it uses less digits than its factorization.

25828431660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37677 (or 37669 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 25828431660 in words is "twenty-five billion, eight hundred twenty-eight million, four hundred thirty-one thousand, six hundred sixty".