26542676160 has 2016 divisors, whose sum is σ = 132213559296. Its totient is φ = 4926873600.

The previous prime is 26542676159. The next prime is 26542676231. The reversal of 26542676160 is 6167624562.

26542676160 is a `hidden beast` number, since 2 + 6 + 5 + 4 + 26 + 7 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 856215345 + ... + 856215375.

Almost surely, 2^26542676160 is an apocalyptic number.

26542676160 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 26542676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66106779648).

26542676160 is an abundant number, since it is smaller than the sum of its proper divisors (105670883136).

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

26542676160 is a wasteful number, since it uses less digits than its factorization.

26542676160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 26542676160 in words is "twenty-six billion, five hundred forty-two million, six hundred seventy-six thousand, one hundred sixty".