26930379971232 has 192 divisors, whose sum is σ = 78696213120000. Its totient is φ = 8959742325504.

The previous prime is 26930379971189. The next prime is 26930379971237. The reversal of 26930379971232 is 23217997303962.

26930379971232 is a `hidden beast` number, since 2 + 6 + 9 + 303 + 7 + 9 + 97 + 1 + 232 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 26930379971232.

It is not an unprimeable number, because it can be changed into a prime (26930379971237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3315320323 + ... + 3315328445.

It is an arithmetic number, because the mean of its divisors is an integer number (409876110000).

Almost surely, 2^{26930379971232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26930379971232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39348106560000).

26930379971232 is an abundant number, since it is smaller than the sum of its proper divisors (51765833148768).

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

26930379971232 is a wasteful number, since it uses less digits than its factorization.

26930379971232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14960 (or 14946 counting only the distinct ones).

The product of its (nonzero) digits is 46294416, while the sum is 63.

The spelling of 26930379971232 in words is "twenty-six trillion, nine hundred thirty billion, three hundred seventy-nine million, nine hundred seventy-one thousand, two hundred thirty-two".