26707968000 has 1200 divisors, whose sum is σ = 118753899264. Its totient is φ = 5839257600.

The previous prime is 26707967999. The next prime is 26707968017. The reversal of 26707968000 is 86970762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1161215989 + ... + 1161216011.

Almost surely, 2^26707968000 is an apocalyptic number.

26707968000 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 26707968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59376949632).

26707968000 is an abundant number, since it is smaller than the sum of its proper divisors (92045931264).

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

26707968000 is an frugal number, since it uses more digits than its factorization.

26707968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 26707968000 in words is "twenty-six billion, seven hundred seven million, nine hundred sixty-eight thousand".