26364143426016 has 192 divisors, whose sum is σ = 75718402615296. Its totient is φ = 7965756057600.

The previous prime is 26364143425993. The next prime is 26364143426039. The reversal of 26364143426016 is 61062434146362.

It is an interprime number because it is at equal distance from previous prime (26364143425993) and next prime (26364143426039).

It is a super-3 number, since 3×26364143426016³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149103441 + ... + 1149126383.

It is an arithmetic number, because the mean of its divisors is an integer number (394366680288).

Almost surely, 2^{26364143426016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26364143426016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37859201307648).

26364143426016 is an abundant number, since it is smaller than the sum of its proper divisors (49354259189280).

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

26364143426016 is a wasteful number, since it uses less digits than its factorization.

26364143426016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26105 (or 26097 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 26364143426016 in words is "twenty-six trillion, three hundred sixty-four billion, one hundred forty-three million, four hundred twenty-six thousand, sixteen".