25667335540 has 288 divisors, whose sum is σ = 70030743552. Its totient is φ = 7730553600.

The previous prime is 25667335537. The next prime is 25667335567. The reversal of 25667335540 is 4553376652.

It is a super-2 number, since 2×25667335540² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121646035 + ... + 121646245.

It is an arithmetic number, because the mean of its divisors is an integer number (243162304).

Almost surely, 2^25667335540 is an apocalyptic number.

25667335540 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 25667335540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35015371776).

25667335540 is an abundant number, since it is smaller than the sum of its proper divisors (44363408012).

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

25667335540 is a wasteful number, since it uses less digits than its factorization.

25667335540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 46.

The spelling of 25667335540 in words is "twenty-five billion, six hundred sixty-seven million, three hundred thirty-five thousand, five hundred forty".