26628033078720 has 672 divisors, whose sum is σ = 99209589792768. Its totient is φ = 6785334116352.

The previous prime is 26628033078719. The next prime is 26628033078833. The reversal of 26628033078720 is 2787033082662.

26628033078720 is a `hidden beast` number, since 2 + 6 + 6 + 280 + 330 + 7 + 8 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1944070912 + ... + 1944084608.

It is an arithmetic number, because the mean of its divisors is an integer number (147633318144).

Almost surely, 2^{26628033078720} is an apocalyptic number.

26628033078720 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 26628033078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49604794896384).

26628033078720 is an abundant number, since it is smaller than the sum of its proper divisors (72581556714048).

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

26628033078720 is a wasteful number, since it uses less digits than its factorization.

26628033078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14839 (or 14817 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 26628033078720 in words is "twenty-six trillion, six hundred twenty-eight billion, thirty-three million, seventy-eight thousand, seven hundred twenty".