26691230979072 has 1232 divisors, whose sum is σ = 91209561134400. Its totient is φ = 7731070894080.

The previous prime is 26691230979011. The next prime is 26691230979073. The reversal of 26691230979072 is 27097903219662.

26691230979072 is a `hidden beast` number, since 266 + 9 + 1 + 230 + 9 + 79 + 0 + 72 = 666.

It is a super-2 number, since 2×26691230979072² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26691230979073) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17925607704 + ... + 17925609192.

Almost surely, 2^{26691230979072} is an apocalyptic number.

26691230979072 is a gapful number since it is divisible by the number (22) 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 26691230979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45604780567200).

26691230979072 is an abundant number, since it is smaller than the sum of its proper divisors (64518330155328).

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

26691230979072 is a wasteful number, since it uses less digits than its factorization.

26691230979072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 26691230979072 in words is "twenty-six trillion, six hundred ninety-one billion, two hundred thirty million, nine hundred seventy-nine thousand, seventy-two".