26097792000 has 1056 divisors, whose sum is σ = 107755390080. Its totient is φ = 5573836800.

The previous prime is 26097791999. The next prime is 26097792001. The reversal of 26097792000 is 29779062.

It is an interprime number because it is at equal distance from previous prime (26097791999) and next prime (26097792001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26097792001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357503964 + ... + 357504036.

Almost surely, 2^26097792000 is an apocalyptic number.

26097792000 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 26097792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53877695040).

26097792000 is an abundant number, since it is smaller than the sum of its proper divisors (81657598080).

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

26097792000 is a wasteful number, since it uses less digits than its factorization.

26097792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The spelling of 26097792000 in words is "twenty-six billion, ninety-seven million, seven hundred ninety-two thousand".