26233159680 has 1440 divisors, whose sum is σ = 123661085184. Its totient is φ = 4982833152.

The previous prime is 26233159669. The next prime is 26233159691. The reversal of 26233159680 is 8695133262.

26233159680 is a `hidden beast` number, since 2 + 6 + 23 + 31 + 596 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26233159669) and next prime (26233159691).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1140572149 + ... + 1140572171.

Almost surely, 2^26233159680 is an apocalyptic number.

26233159680 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 26233159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61830542592).

26233159680 is an abundant number, since it is smaller than the sum of its proper divisors (97427925504).

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

26233159680 is a wasteful number, since it uses less digits than its factorization.

26233159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 26233159680 in words is "twenty-six billion, two hundred thirty-three million, one hundred fifty-nine thousand, six hundred eighty".