26562135680 has 64 divisors (see below), whose sum is σ = 63670919400. Its totient is φ = 10596274176.

The previous prime is 26562135559. The next prime is 26562135727. The reversal of 26562135680 is 8653126562.

It can be written as a sum of positive squares in 4 ways, for example, as 18489472576 + 8072663104 = 135976^2 + 89848^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183086 + ... + 294354.

Almost surely, 2^26562135680 is an apocalyptic number.

26562135680 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 26562135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31835459700).

26562135680 is an abundant number, since it is smaller than the sum of its proper divisors (37108783720).

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

26562135680 is a wasteful number, since it uses less digits than its factorization.

26562135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111661 (or 111649 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 26562135680 in words is "twenty-six billion, five hundred sixty-two million, one hundred thirty-five thousand, six hundred eighty".