26233373040000 has 1920 divisors, whose sum is σ = 105350840939520. Its totient is φ = 5758986240000.

The previous prime is 26233373039959. The next prime is 26233373040011. The reversal of 26233373040000 is 4037333262.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×26233373040000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 82755119842 + ... + 82755120158.

It is an arithmetic number, because the mean of its divisors is an integer number (54870229656).

Almost surely, 2^{26233373040000} is an apocalyptic number.

26233373040000 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 26233373040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52675420469760).

26233373040000 is an abundant number, since it is smaller than the sum of its proper divisors (79117467899520).

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

26233373040000 is a wasteful number, since it uses less digits than its factorization.

26233373040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 33.

The spelling of 26233373040000 in words is "twenty-six trillion, two hundred thirty-three billion, three hundred seventy-three million, forty thousand".