26385216000 has 960 divisors, whose sum is σ = 106492434048. Its totient is φ = 5713920000.

The previous prime is 26385215999. The next prime is 26385216007. The reversal of 26385216000 is 61258362.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26385216007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 851135985 + ... + 851136015.

Almost surely, 2^26385216000 is an apocalyptic number.

26385216000 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 26385216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53246217024).

26385216000 is an abundant number, since it is smaller than the sum of its proper divisors (80107218048).

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

26385216000 is a wasteful number, since it uses less digits than its factorization.

26385216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 26385216000 in words is "twenty-six billion, three hundred eighty-five million, two hundred sixteen thousand".