26239005112320 has 5760 divisors, whose sum is σ = 135513205027200. Its totient is φ = 4736805765120.

The previous prime is 26239005112283. The next prime is 26239005112357. The reversal of 26239005112320 is 2321150093262.

26239005112320 is a `hidden beast` number, since 2 + 6 + 23 + 90 + 0 + 511 + 2 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26239005112283) and next prime (26239005112357).

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1543470888952 + ... + 1543470888968.

It is an arithmetic number, because the mean of its divisors is an integer number (23526598095).

Almost surely, 2^{26239005112320} is an apocalyptic number.

26239005112320 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 26239005112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67756602513600).

26239005112320 is an abundant number, since it is smaller than the sum of its proper divisors (109274199914880).

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

26239005112320 is a wasteful number, since it uses less digits than its factorization.

26239005112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 26239005112320 in words is "twenty-six trillion, two hundred thirty-nine billion, five million, one hundred twelve thousand, three hundred twenty".