26679912000 has 560 divisors, whose sum is σ = 102995772672. Its totient is φ = 6085094400.

The previous prime is 26679911987. The next prime is 26679912029. The reversal of 26679912000 is 21997662.

It is a tau number, because it is divible by the number of its divisors (560).

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

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, 57623769 + ... + 57624231.

Almost surely, 2^26679912000 is an apocalyptic number.

26679912000 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 26679912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51497886336).

26679912000 is an abundant number, since it is smaller than the sum of its proper divisors (76315860672).

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

26679912000 is an frugal number, since it uses more digits than its factorization.

26679912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 26679912000 in words is "twenty-six billion, six hundred seventy-nine million, nine hundred twelve thousand".