26980660314720 has 1536 divisors, whose sum is σ = 112836009000960. Its totient is φ = 5891824189440.

The previous prime is 26980660314683. The next prime is 26980660314749. The reversal of 26980660314720 is 2741306608962.

26980660314720 is a `hidden beast` number, since 2 + 6 + 9 + 8 + 0 + 6 + 603 + 1 + 4 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 51588260379 + ... + 51588260901.

It is an arithmetic number, because the mean of its divisors is an integer number (73460943360).

Almost surely, 2^{26980660314720} is an apocalyptic number.

26980660314720 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 26980660314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56418004500480).

26980660314720 is an abundant number, since it is smaller than the sum of its proper divisors (85855348686240).

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

26980660314720 is a wasteful number, since it uses less digits than its factorization.

26980660314720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 26980660314720 in words is "twenty-six trillion, nine hundred eighty billion, six hundred sixty million, three hundred fourteen thousand, seven hundred twenty".