26147886101172 has 1152 divisors, whose sum is σ = 81502871224320. Its totient is φ = 6986456064000.

The previous prime is 26147886101131. The next prime is 26147886101173. The reversal of 26147886101172 is 27110168874162.

It is a happy number.

26147886101172 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 7 + 8 + 8 + 610 + 1 + 17 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26147886101173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 68271242893 + ... + 68271243275.

It is an arithmetic number, because the mean of its divisors is an integer number (70749020160).

Almost surely, 2^{26147886101172} is an apocalyptic number.

26147886101172 is a gapful number since it is divisible by the number (22) 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 26147886101172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40751435612160).

26147886101172 is an abundant number, since it is smaller than the sum of its proper divisors (55354985123148).

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

26147886101172 is a wasteful number, since it uses less digits than its factorization.

26147886101172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 26147886101172 in words is "twenty-six trillion, one hundred forty-seven billion, eight hundred eighty-six million, one hundred one thousand, one hundred seventy-two".