26648545785120 has 576 divisors, whose sum is σ = 108880296505344. Its totient is φ = 5803041024000.

The previous prime is 26648545785083. The next prime is 26648545785181. The reversal of 26648545785120 is 2158754584662.

It is a happy number.

26648545785120 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 8 + 5 + 4 + 578 + 51 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57962869 + ... + 58420811.

It is an arithmetic number, because the mean of its divisors is an integer number (189028292544).

Almost surely, 2^{26648545785120} is an apocalyptic number.

26648545785120 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 26648545785120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54440148252672).

26648545785120 is an abundant number, since it is smaller than the sum of its proper divisors (82231750720224).

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

26648545785120 is a wasteful number, since it uses less digits than its factorization.

26648545785120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458245 (or 458234 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 26648545785120 in words is "twenty-six trillion, six hundred forty-eight billion, five hundred forty-five million, seven hundred eighty-five thousand, one hundred twenty".