26086729536 has 448 divisors, whose sum is σ = 93728194560. Its totient is φ = 6952366080.

The previous prime is 26086729489. The next prime is 26086729597. The reversal of 26086729536 is 63592768062.

26086729536 is a `hidden beast` number, since 2 + 6 + 0 + 86 + 7 + 29 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 11405385 + ... + 11407671.

It is an arithmetic number, because the mean of its divisors is an integer number (209214720).

Almost surely, 2^26086729536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26086729536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46864097280).

26086729536 is an abundant number, since it is smaller than the sum of its proper divisors (67641465024).

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

26086729536 is a wasteful number, since it uses less digits than its factorization.

26086729536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 26086729536 in words is "twenty-six billion, eighty-six million, seven hundred twenty-nine thousand, five hundred thirty-six".