26146168160 has 192 divisors, whose sum is σ = 74102418432. Its totient is φ = 8523626496.

The previous prime is 26146168157. The next prime is 26146168177. The reversal of 26146168160 is 6186164162.

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, 4453547 + ... + 4459413.

It is an arithmetic number, because the mean of its divisors is an integer number (385950096).

Almost surely, 2^26146168160 is an apocalyptic number.

26146168160 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 26146168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37051209216).

26146168160 is an abundant number, since it is smaller than the sum of its proper divisors (47956250272).

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

26146168160 is a wasteful number, since it uses less digits than its factorization.

26146168160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6085 (or 6077 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 26146168160 in words is "twenty-six billion, one hundred forty-six million, one hundred sixty-eight thousand, one hundred sixty".