26471301120 has 672 divisors, whose sum is σ = 108716307840. Its totient is φ = 6039797760.

The previous prime is 26471301113. The next prime is 26471301173. The reversal of 26471301120 is 2110317462.

26471301120 is a `hidden beast` number, since 2 + 647 + 1 + 3 + 0 + 1 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1557135352 + ... + 1557135368.

It is an arithmetic number, because the mean of its divisors is an integer number (161780220).

Almost surely, 2^26471301120 is an apocalyptic number.

26471301120 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 26471301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54358153920).

26471301120 is an abundant number, since it is smaller than the sum of its proper divisors (82245006720).

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

26471301120 is an frugal number, since it uses more digits than its factorization.

26471301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 26471301120 its reverse (2110317462), we get a palindrome (28581618582).

The spelling of 26471301120 in words is "twenty-six billion, four hundred seventy-one million, three hundred one thousand, one hundred twenty".