26975106081 has 189 divisors, whose sum is σ = 52376014593. Its totient is φ = 13835661840.

The previous prime is 26975106061. The next prime is 26975106161. The reversal of 26975106081 is 18060157962.

The square root of 26975106081 is 164241.

It is a perfect power (a square), and thus also a powerful number.

26975106081 is a `hidden beast` number, since 26 + 9 + 7 + 5 + 10 + 608 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 26975106081 - 2⁷ = 26975105953 is a prime.

It is a super-2 number, since 2×26975106081² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26975106061) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 341457000 + ... + 341457078.

Almost surely, 2^26975106081 is an apocalyptic number.

26975106081 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

26975106081 is the 164241-st square number.

26975106081 is the 82121-st centered octagonal number.

It is an amenable number.

26975106081 is a deficient number, since it is larger than the sum of its proper divisors (25400908512).

26975106081 is an frugal number, since it uses more digits than its factorization.

26975106081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 26975106081 in words is "twenty-six billion, nine hundred seventy-five million, one hundred six thousand, eighty-one".