26998272000 has 1248 divisors, whose sum is σ = 119070142464. Its totient is φ = 5971968000.

The previous prime is 26998271981. The next prime is 26998272001. The reversal of 26998272000 is 27289962.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26998272001) 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, 870911985 + ... + 870912015.

It is an arithmetic number, because the mean of its divisors is an integer number (95408768).

Almost surely, 2^26998272000 is an apocalyptic number.

26998272000 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 26998272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59535071232).

26998272000 is an abundant number, since it is smaller than the sum of its proper divisors (92071870464).

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

26998272000 is an frugal number, since it uses more digits than its factorization.

26998272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 26998272000 in words is "twenty-six billion, nine hundred ninety-eight million, two hundred seventy-two thousand".