26220376845936 has 640 divisors, whose sum is σ = 94209170227200. Its totient is φ = 6797547786240.

The previous prime is 26220376845931. The next prime is 26220376845937. The reversal of 26220376845936 is 63954867302262.

26220376845936 is a `hidden beast` number, since 2 + 6 + 2 + 2 + 0 + 37 + 6 + 8 + 4 + 593 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26220376845931) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5652159105 + ... + 5652163743.

It is an arithmetic number, because the mean of its divisors is an integer number (147201828480).

Almost surely, 2^{26220376845936} is an apocalyptic number.

26220376845936 is a gapful number since it is divisible by the number (26) 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 26220376845936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47104585113600).

26220376845936 is an abundant number, since it is smaller than the sum of its proper divisors (67988793381264).

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

26220376845936 is a wasteful number, since it uses less digits than its factorization.

26220376845936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7094 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 26220376845936 in words is "twenty-six trillion, two hundred twenty billion, three hundred seventy-six million, eight hundred forty-five thousand, nine hundred thirty-six".