26232784744320 has 6144 divisors, whose sum is σ = 135026196480000. Its totient is φ = 4677245337600.

The previous prime is 26232784744307. The next prime is 26232784744343. The reversal of 26232784744320 is 2344748723262.

It is a happy number.

26232784744320 is a `hidden beast` number, since 2 + 6 + 2 + 3 + 278 + 4 + 7 + 44 + 320 = 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 767 ways as a sum of consecutive naturals, for example, 146551869991 + ... + 146551870169.

It is an arithmetic number, because the mean of its divisors is an integer number (21976920000).

Almost surely, 2^{26232784744320} is an apocalyptic number.

26232784744320 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 26232784744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67513098240000).

26232784744320 is an abundant number, since it is smaller than the sum of its proper divisors (108793411735680).

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

26232784744320 is a wasteful number, since it uses less digits than its factorization.

26232784744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 54.

The spelling of 26232784744320 in words is "twenty-six trillion, two hundred thirty-two billion, seven hundred eighty-four million, seven hundred forty-four thousand, three hundred twenty".