23139361808640 has 1440 divisors, whose sum is σ = 109300097136384. Its totient is φ = 4525318471680.

The previous prime is 23139361808627. The next prime is 23139361808659. The reversal of 23139361808640 is 4680816393132.

23139361808640 is a `hidden beast` number, since 2 + 3 + 1 + 393 + 61 + 80 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×23139361808640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 135631872 + ... + 135802368.

Almost surely, 2^{23139361808640} is an apocalyptic number.

23139361808640 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 23139361808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54650048568192).

23139361808640 is an abundant number, since it is smaller than the sum of its proper divisors (86160735327744).

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

23139361808640 is a wasteful number, since it uses less digits than its factorization.

23139361808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170565 (or 170542 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 23139361808640 in words is "twenty-three trillion, one hundred thirty-nine billion, three hundred sixty-one million, eight hundred eight thousand, six hundred forty".