26195209560 has 1152 divisors, whose sum is σ = 108528076800. Its totient is φ = 5434490880.

The previous prime is 26195209553. The next prime is 26195209589. The reversal of 26195209560 is 6590259162.

It is a happy number.

26195209560 is a `hidden beast` number, since 2 + 61 + 9 + 5 + 20 + 9 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 609190899 + ... + 609190941.

It is an arithmetic number, because the mean of its divisors is an integer number (94208400).

Almost surely, 2^26195209560 is an apocalyptic number.

26195209560 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 26195209560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54264038400).

26195209560 is an abundant number, since it is smaller than the sum of its proper divisors (82332867240).

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

26195209560 is a wasteful number, since it uses less digits than its factorization.

26195209560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 26195209560 in words is "twenty-six billion, one hundred ninety-five million, two hundred nine thousand, five hundred sixty".