26212534560 has 144 divisors (see below), whose sum is σ = 91868035896. Its totient is φ = 6801076224.

The previous prime is 26212534559. The next prime is 26212534589. The reversal of 26212534560 is 6543521262.

26212534560 is a `hidden beast` number, since 2 + 62 + 1 + 2 + 5 + 34 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25821918864 + 390615696 = 160692^2 + 19764^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192709 + ... + 299268.

Almost surely, 2^26212534560 is an apocalyptic number.

26212534560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26212534560 is an abundant number, since it is smaller than the sum of its proper divisors (65655501336).

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

26212534560 is a wasteful number, since it uses less digits than its factorization.

26212534560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492035 (or 492024 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 26212534560 in words is "twenty-six billion, two hundred twelve million, five hundred thirty-four thousand, five hundred sixty".