26952937006968 has 160 divisors (see below), whose sum is σ = 86295293040000. Its totient is φ = 7699288500288.

The previous prime is 26952937006951. The next prime is 26952937006969. The reversal of 26952937006968 is 86960073925962.

26952937006968 is a `hidden beast` number, since 2 + 6 + 9 + 529 + 3 + 7 + 0 + 0 + 6 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 26952937006896 and 26952937006905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26952937006969) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22025283 + ... + 23216781.

It is an arithmetic number, because the mean of its divisors is an integer number (539345581500).

Almost surely, 2^{26952937006968} is an apocalyptic number.

26952937006968 is a gapful number since it is divisible by the number (28) 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 26952937006968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43147646520000).

26952937006968 is an abundant number, since it is smaller than the sum of its proper divisors (59342356033032).

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

26952937006968 is a wasteful number, since it uses less digits than its factorization.

26952937006968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196511 (or 1196498 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 26952937006968 in words is "twenty-six trillion, nine hundred fifty-two billion, nine hundred thirty-seven million, six thousand, nine hundred sixty-eight".