26665416000 has 448 divisors, whose sum is σ = 100251889920. Its totient is φ = 6935040000.

The previous prime is 26665415989. The next prime is 26665416017. The reversal of 26665416000 is 61456662.

It is a happy number.

It is a super-2 number, since 2×26665416000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 8854495 + ... + 8857505.

It is an arithmetic number, because the mean of its divisors is an integer number (223776540).

Almost surely, 2^26665416000 is an apocalyptic number.

26665416000 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 26665416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50125944960).

26665416000 is an abundant number, since it is smaller than the sum of its proper divisors (73586473920).

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

26665416000 is a wasteful number, since it uses less digits than its factorization.

26665416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 26665416000 in words is "twenty-six billion, six hundred sixty-five million, four hundred sixteen thousand".