26216169504 has 384 divisors, whose sum is σ = 82910822400. Its totient is φ = 7099868160.

The previous prime is 26216169503. The next prime is 26216169509. The reversal of 26216169504 is 40596161262.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (26216169503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188605467 + ... + 188605605.

It is an arithmetic number, because the mean of its divisors is an integer number (215913600).

Almost surely, 2^26216169504 is an apocalyptic number.

26216169504 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 26216169504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41455411200).

26216169504 is an abundant number, since it is smaller than the sum of its proper divisors (56694652896).

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

26216169504 is a wasteful number, since it uses less digits than its factorization.

26216169504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 26216169504 in words is "twenty-six billion, two hundred sixteen million, one hundred sixty-nine thousand, five hundred four".