23107933938240 has 280 divisors, whose sum is σ = 82211815565880. Its totient is φ = 6161153974272.

The previous prime is 23107933938227. The next prime is 23107933938251. The reversal of 23107933938240 is 4283933970132.

23107933938240 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 7 + 9 + 3 + 393 + 8 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14724963385344 + 8382970552896 = 3837312^2 + 2895336^2 .

It is a super-2 number, since 2×23107933938240² (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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 174453156 + ... + 174585564.

It is an arithmetic number, because the mean of its divisors is an integer number (293613627021).

Almost surely, 2^{23107933938240} is an apocalyptic number.

23107933938240 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 23107933938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41105907782940).

23107933938240 is an abundant number, since it is smaller than the sum of its proper divisors (59103881627640).

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

23107933938240 is a wasteful number, since it uses less digits than its factorization.

23107933938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139171 (or 139152 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 23107933938240 in words is "twenty-three trillion, one hundred seven billion, nine hundred thirty-three million, nine hundred thirty-eight thousand, two hundred forty".