26131322880 has 576 divisors, whose sum is σ = 103350854880. Its totient is φ = 6049234944.

The previous prime is 26131322849. The next prime is 26131322891. The reversal of 26131322880 is 8822313162.

26131322880 is a `hidden beast` number, since 2 + 61 + 313 + 2 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×26131322880² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20366719 + ... + 20368001.

Almost surely, 2^26131322880 is an apocalyptic number.

26131322880 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 26131322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51675427440).

26131322880 is an abundant number, since it is smaller than the sum of its proper divisors (77219532000).

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

26131322880 is a wasteful number, since it uses less digits than its factorization.

26131322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 26131322880 in words is "twenty-six billion, one hundred thirty-one million, three hundred twenty-two thousand, eight hundred eighty".