26273137000 has 128 divisors (see below), whose sum is σ = 67722220800. Its totient is φ = 9460704000.

The previous prime is 26273136997. The next prime is 26273137003. The reversal of 26273137000 is 73137262.

It is an interprime number because it is at equal distance from previous prime (26273136997) and next prime (26273137003).

It is not an unprimeable number, because it can be changed into a prime (26273137003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1121406 + ... + 1144594.

It is an arithmetic number, because the mean of its divisors is an integer number (529079850).

Almost surely, 2^26273137000 is an apocalyptic number.

26273137000 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 26273137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33861110400).

26273137000 is an abundant number, since it is smaller than the sum of its proper divisors (41449083800).

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

26273137000 is a wasteful number, since it uses less digits than its factorization.

26273137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23324 (or 23310 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The spelling of 26273137000 in words is "twenty-six billion, two hundred seventy-three million, one hundred thirty-seven thousand".