26124942240000 has 2160 divisors, whose sum is σ = 103054746674880. Its totient is φ = 6340239360000.

The previous prime is 26124942239983. The next prime is 26124942240041. The reversal of 26124942240000 is 4224942162.

26124942240000 is a `hidden beast` number, since 2 + 6 + 1 + 249 + 4 + 2 + 2 + 400 + 0 + 0 = 666.

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

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 239 ways as a sum of consecutive naturals, for example, 132613919902 + ... + 132613920098.

It is an arithmetic number, because the mean of its divisors is an integer number (47710530868).

Almost surely, 2^{26124942240000} is an apocalyptic number.

26124942240000 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 26124942240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51527373337440).

26124942240000 is an abundant number, since it is smaller than the sum of its proper divisors (76929804434880).

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

26124942240000 is a wasteful number, since it uses less digits than its factorization.

26124942240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 26124942240000 in words is "twenty-six trillion, one hundred twenty-four billion, nine hundred forty-two million, two hundred forty thousand".