26146939160160 has 2304 divisors, whose sum is σ = 121269880166400. Its totient is φ = 5107800342528.

The previous prime is 26146939160159. The next prime is 26146939160203. The reversal of 26146939160160 is 6106193964162.

It is a happy number.

26146939160160 is a `hidden beast` number, since 2 + 6 + 1 + 469 + 3 + 9 + 16 + 0 + 160 = 666.

It is a super-2 number, since 2×26146939160160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26146939160097 and 26146939160106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 101739062752 + ... + 101739063008.

It is an arithmetic number, because the mean of its divisors is an integer number (52634496600).

Almost surely, 2^{26146939160160} is an apocalyptic number.

26146939160160 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 26146939160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60634940083200).

26146939160160 is an abundant number, since it is smaller than the sum of its proper divisors (95122941006240).

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

26146939160160 is a wasteful number, since it uses less digits than its factorization.

26146939160160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 26146939160160 in words is "twenty-six trillion, one hundred forty-six billion, nine hundred thirty-nine million, one hundred sixty thousand, one hundred sixty".