26140408560 has 320 divisors, whose sum is σ = 103300531200. Its totient is φ = 5951812608.

The previous prime is 26140408559. The next prime is 26140408589. The reversal of 26140408560 is 6580404162.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4064067 + ... + 4070493.

It is an arithmetic number, because the mean of its divisors is an integer number (322814160).

Almost surely, 2^26140408560 is an apocalyptic number.

26140408560 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 26140408560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51650265600).

26140408560 is an abundant number, since it is smaller than the sum of its proper divisors (77160122640).

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

26140408560 is a wasteful number, since it uses less digits than its factorization.

26140408560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6725 (or 6713 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 26140408560 in words is "twenty-six billion, one hundred forty million, four hundred eight thousand, five hundred sixty".