26958579120 has 480 divisors, whose sum is σ = 102909538368. Its totient is φ = 6266880000.

The previous prime is 26958579119. The next prime is 26958579169. The reversal of 26958579120 is 2197585962.

26958579120 is a `hidden beast` number, since 2 + 6 + 9 + 58 + 579 + 12 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19807240 + ... + 19808600.

Almost surely, 2^26958579120 is an apocalyptic number.

26958579120 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 26958579120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51454769184).

26958579120 is an abundant number, since it is smaller than the sum of its proper divisors (75950959248).

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

26958579120 is a wasteful number, since it uses less digits than its factorization.

26958579120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 26958579120 in words is "twenty-six billion, nine hundred fifty-eight million, five hundred seventy-nine thousand, one hundred twenty".