26142131106 has 128 divisors (see below), whose sum is σ = 75705960960. Its totient is φ = 6489040896.

The previous prime is 26142131083. The next prime is 26142131117. The reversal of 26142131106 is 60113124162.

It is a happy number.

26142131106 is a `hidden beast` number, since 2 + 614 + 2 + 1 + 31 + 10 + 6 = 666.

It is a super-2 number, since 2×26142131106² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 26142131106.

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, 72931 + ... + 240006.

It is an arithmetic number, because the mean of its divisors is an integer number (591452820).

Almost surely, 2^26142131106 is an apocalyptic number.

26142131106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

26142131106 is an abundant number, since it is smaller than the sum of its proper divisors (49563829854).

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

26142131106 is a wasteful number, since it uses less digits than its factorization.

26142131106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312985 (or 312979 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 26142131106 its reverse (60113124162), we get a palindrome (86255255268).

The spelling of 26142131106 in words is "twenty-six billion, one hundred forty-two million, one hundred thirty-one thousand, one hundred six".