26342316000 has 2304 divisors, whose sum is σ = 135998134272. Its totient is φ = 4644864000.

The previous prime is 26342315981. The next prime is 26342316029. The reversal of 26342316000 is 61324362.

26342316000 is a `hidden beast` number, since 2 + 6 + 34 + 23 + 1 + 600 + 0 = 666.

It is a super-2 number, since 2×26342316000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 612611979 + ... + 612612021.

It is an arithmetic number, because the mean of its divisors is an integer number (59026968).

Almost surely, 2^26342316000 is an apocalyptic number.

26342316000 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 26342316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67999067136).

26342316000 is an abundant number, since it is smaller than the sum of its proper divisors (109655818272).

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

26342316000 is a wasteful number, since it uses less digits than its factorization.

26342316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 26342316000 in words is "twenty-six billion, three hundred forty-two million, three hundred sixteen thousand".