26620059648000 has 1088 divisors, whose sum is σ = 109044092731392. Its totient is φ = 5616068198400.

The previous prime is 26620059647989. The next prime is 26620059648001. The reversal of 26620059648000 is 84695002662.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (26620059648001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2236410049 + ... + 2236421951.

Almost surely, 2^{26620059648000} is an apocalyptic number.

26620059648000 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 26620059648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54522046365696).

26620059648000 is an abundant number, since it is smaller than the sum of its proper divisors (82424033083392).

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

26620059648000 is an equidigital number, since it uses as much as digits as its factorization.

26620059648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11973 (or 11933 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 26620059648000 in words is "twenty-six trillion, six hundred twenty billion, fifty-nine million, six hundred forty-eight thousand".