26680762741248 has 960 divisors, whose sum is σ = 104799422407680. Its totient is φ = 6565283020800.

The previous prime is 26680762741247. The next prime is 26680762741261. The reversal of 26680762741248 is 84214726708662.

It is a happy number.

26680762741248 is a `hidden beast` number, since 266 + 8 + 0 + 7 + 62 + 74 + 1 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (26680762741247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181947318 + ... + 182093898.

It is an arithmetic number, because the mean of its divisors is an integer number (109166065008).

Almost surely, 2^{26680762741248} is an apocalyptic number.

26680762741248 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 26680762741248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52399711203840).

26680762741248 is an abundant number, since it is smaller than the sum of its proper divisors (78118659666432).

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

26680762741248 is a wasteful number, since it uses less digits than its factorization.

26680762741248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146651 (or 146623 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 26680762741248 in words is "twenty-six trillion, six hundred eighty billion, seven hundred sixty-two million, seven hundred forty-one thousand, two hundred forty-eight".