26182000416 has 384 divisors, whose sum is σ = 83493027072. Its totient is φ = 7077888000.

The previous prime is 26182000409. The next prime is 26182000489. The reversal of 26182000416 is 61400028162.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101875360 + ... + 101875616.

It is an arithmetic number, because the mean of its divisors is an integer number (217429758).

Almost surely, 2^26182000416 is an apocalyptic number.

26182000416 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 26182000416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41746513536).

26182000416 is an abundant number, since it is smaller than the sum of its proper divisors (57311026656).

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

26182000416 is a wasteful number, since it uses less digits than its factorization.

26182000416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 26182000416 its reverse (61400028162), we get a palindrome (87582028578).

The spelling of 26182000416 in words is "twenty-six billion, one hundred eighty-two million, four hundred sixteen", and thus it is an aban number.