26446788480 has 256 divisors, whose sum is σ = 102009922560. Its totient is φ = 5689344000.

The previous prime is 26446788439. The next prime is 26446788481. The reversal of 26446788480 is 8488764462.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26446788480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26446788481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170605 + ... + 286355.

It is an arithmetic number, because the mean of its divisors is an integer number (398476260).

Almost surely, 2^26446788480 is an apocalyptic number.

26446788480 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 26446788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51004961280).

26446788480 is an abundant number, since it is smaller than the sum of its proper divisors (75563134080).

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

26446788480 is a wasteful number, since it uses less digits than its factorization.

26446788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115797 (or 115785 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 57.

The spelling of 26446788480 in words is "twenty-six billion, four hundred forty-six million, seven hundred eighty-eight thousand, four hundred eighty".