26352722787840 has 480 divisors, whose sum is σ = 94698370166400. Its totient is φ = 7023589761024.

The previous prime is 26352722787791. The next prime is 26352722787871. The reversal of 26352722787840 is 4878722725362.

26352722787840 is a `hidden beast` number, since 2 + 6 + 3 + 527 + 2 + 27 + 8 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1260945711 + ... + 1260966609.

It is an arithmetic number, because the mean of its divisors is an integer number (197288271180).

Almost surely, 2^{26352722787840} is an apocalyptic number.

26352722787840 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 26352722787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47349185083200).

26352722787840 is an abundant number, since it is smaller than the sum of its proper divisors (68345647378560).

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

26352722787840 is an equidigital number, since it uses as much as digits as its factorization.

26352722787840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22964 (or 22936 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 26352722787840 in words is "twenty-six trillion, three hundred fifty-two billion, seven hundred twenty-two million, seven hundred eighty-seven thousand, eight hundred forty".