26238880974384 has 720 divisors, whose sum is σ = 84112374677760. Its totient is φ = 7623911393280.

The previous prime is 26238880974263. The next prime is 26238880974469. The reversal of 26238880974384 is 48347908883262.

26238880974384 is a `hidden beast` number, since 2 + 6 + 2 + 3 + 88 + 80 + 97 + 4 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 3766162869 + ... + 3766169835.

It is an arithmetic number, because the mean of its divisors is an integer number (116822742608).

Almost surely, 2^{26238880974384} is an apocalyptic number.

26238880974384 is a gapful number since it is divisible by the number (24) 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 26238880974384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42056187338880).

26238880974384 is an abundant number, since it is smaller than the sum of its proper divisors (57873493703376).

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

26238880974384 is a wasteful number, since it uses less digits than its factorization.

26238880974384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170 (or 7148 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 26238880974384 in words is "twenty-six trillion, two hundred thirty-eight billion, eight hundred eighty million, nine hundred seventy-four thousand, three hundred eighty-four".