26538161760 has 384 divisors, whose sum is σ = 105737425920. Its totient is φ = 6153523200.

The previous prime is 26538161759. The next prime is 26538161791. The reversal of 26538161760 is 6716183562.

26538161760 is a `hidden beast` number, since 26 + 5 + 3 + 8 + 1 + 617 + 6 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1080820 + ... + 1105100.

It is an arithmetic number, because the mean of its divisors is an integer number (275357880).

Almost surely, 2^26538161760 is an apocalyptic number.

26538161760 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 26538161760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52868712960).

26538161760 is an abundant number, since it is smaller than the sum of its proper divisors (79199264160).

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

26538161760 is a wasteful number, since it uses less digits than its factorization.

26538161760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24339 (or 24325 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 26538161760 in words is "twenty-six billion, five hundred thirty-eight million, one hundred sixty-one thousand, seven hundred sixty".