26506880000 has 220 divisors, whose sum is σ = 67145694000. Its totient is φ = 10454016000.

The previous prime is 26506879999. The next prime is 26506880003. The reversal of 26506880000 is 8860562.

It is a super-2 number, since 2×26506880000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26506880003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53119751 + ... + 53120249.

It is an arithmetic number, because the mean of its divisors is an integer number (305207700).

Almost surely, 2^26506880000 is an apocalyptic number.

26506880000 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 26506880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33572847000).

26506880000 is an abundant number, since it is smaller than the sum of its proper divisors (40638814000).

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

26506880000 is an frugal number, since it uses more digits than its factorization.

26506880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 26506880000 in words is "twenty-six billion, five hundred six million, eight hundred eighty thousand".