26233136280 has 320 divisors, whose sum is σ = 95583882240. Its totient is φ = 6414640128.

The previous prime is 26233136273. The next prime is 26233136297. The reversal of 26233136280 is 8263133262.

It is a happy number.

26233136280 is a `hidden beast` number, since 2 + 6 + 23 + 3 + 1 + 3 + 628 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6610857 + ... + 6614823.

It is an arithmetic number, because the mean of its divisors is an integer number (298699632).

Almost surely, 2^26233136280 is an apocalyptic number.

26233136280 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 26233136280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47791941120).

26233136280 is an abundant number, since it is smaller than the sum of its proper divisors (69350745960).

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

26233136280 is a wasteful number, since it uses less digits than its factorization.

26233136280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 26233136280 in words is "twenty-six billion, two hundred thirty-three million, one hundred thirty-six thousand, two hundred eighty".