26409185460 has 192 divisors, whose sum is σ = 94576742400. Its totient is φ = 5992838784.

The previous prime is 26409185447. The next prime is 26409185497. The reversal of 26409185460 is 6458190462.

26409185460 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 9 + 185 + 460 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 500289 + ... + 550551.

It is an arithmetic number, because the mean of its divisors is an integer number (492587200).

Almost surely, 2^26409185460 is an apocalyptic number.

26409185460 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 26409185460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47288371200).

26409185460 is an abundant number, since it is smaller than the sum of its proper divisors (68167556940).

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

26409185460 is a wasteful number, since it uses less digits than its factorization.

26409185460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50427 (or 50419 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 26409185460 in words is "twenty-six billion, four hundred nine million, one hundred eighty-five thousand, four hundred sixty".