26505676080 has 360 divisors, whose sum is σ = 97996491216. Its totient is φ = 6415718400.

The previous prime is 26505675961. The next prime is 26505676103. The reversal of 26505676080 is 8067650562.

26505676080 is a `hidden beast` number, since 2 + 6 + 5 + 0 + 567 + 6 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7420695 + ... + 7424265.

Almost surely, 2^26505676080 is an apocalyptic number.

26505676080 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 26505676080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48998245608).

26505676080 is an abundant number, since it is smaller than the sum of its proper divisors (71490815136).

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

26505676080 is a wasteful number, since it uses less digits than its factorization.

26505676080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 26505676080 in words is "twenty-six billion, five hundred five million, six hundred seventy-six thousand, eighty".