26531970171120 has 480 divisors, whose sum is σ = 94854186086400. Its totient is φ = 6636084940800.

The previous prime is 26531970171107. The next prime is 26531970171169. The reversal of 26531970171120 is 2117107913562.

26531970171120 is a `hidden beast` number, since 2 + 6 + 531 + 9 + 70 + 17 + 11 + 20 = 666.

It is a super-2 number, since 2×26531970171120² (a number of 28 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 93356596 + ... + 93640364.

It is an arithmetic number, because the mean of its divisors is an integer number (197612887680).

Almost surely, 2^{26531970171120} is an apocalyptic number.

26531970171120 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 26531970171120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47427093043200).

26531970171120 is an abundant number, since it is smaller than the sum of its proper divisors (68322215915280).

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

26531970171120 is a wasteful number, since it uses less digits than its factorization.

26531970171120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283949 (or 283940 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 26531970171120 in words is "twenty-six trillion, five hundred thirty-one billion, nine hundred seventy million, one hundred seventy-one thousand, one hundred twenty".