26779334500440 has 256 divisors, whose sum is σ = 89543228544000. Its totient is φ = 7118881136640.

The previous prime is 26779334500397. The next prime is 26779334500441. The reversal of 26779334500440 is 4400543397762.

It is a happy number.

26779334500440 is a `hidden beast` number, since 2 + 6 + 7 + 7 + 93 + 3 + 4 + 500 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26779334500441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 576980835 + ... + 577027245.

It is an arithmetic number, because the mean of its divisors is an integer number (349778236500).

Almost surely, 2^{26779334500440} is an apocalyptic number.

26779334500440 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 26779334500440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44771614272000).

26779334500440 is an abundant number, since it is smaller than the sum of its proper divisors (62763894043560).

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

26779334500440 is a wasteful number, since it uses less digits than its factorization.

26779334500440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48087 (or 48077 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 26779334500440 in words is "twenty-six trillion, seven hundred seventy-nine billion, three hundred thirty-four million, five hundred thousand, four hundred forty".