26220858624 has 252 divisors, whose sum is σ = 79254413700. Its totient is φ = 8653381632.

The previous prime is 26220858583. The next prime is 26220858679. The reversal of 26220858624 is 42685802262.

26220858624 is a `hidden beast` number, since 2 + 62 + 2 + 0 + 8 + 586 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19833652224 + 6387206400 = 140832^2 + 79920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 26220858624.

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 20341372 + ... + 20342660.

Almost surely, 2^26220858624 is an apocalyptic number.

26220858624 is a gapful number since it is divisible by the number (24) 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 26220858624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39627206850).

26220858624 is an abundant number, since it is smaller than the sum of its proper divisors (53033555076).

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

26220858624 is an equidigital number, since it uses as much as digits as its factorization.

26220858624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 26220858624 in words is "twenty-six billion, two hundred twenty million, eight hundred fifty-eight thousand, six hundred twenty-four".