23394125381760 has 576 divisors, whose sum is σ = 95512467000600. Its totient is φ = 5259565301760.

The previous prime is 23394125381729. The next prime is 23394125381791. The reversal of 23394125381760 is 6718352149332.

23394125381760 is a `hidden beast` number, since 2 + 3 + 3 + 9 + 41 + 2 + 538 + 1 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (23394125381729) and next prime (23394125381791).

It can be written as a sum of positive squares in 4 ways, for example, as 10974590835264 + 12419534546496 = 3312792^2 + 3524136^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 23394125381697 and 23394125381706.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16537236 + ... + 17896044.

It is a 1-persistent number, because it is pandigital, but 2⋅23394125381760 = 46788250763520 is not.

Almost surely, 2^{23394125381760} is an apocalyptic number.

23394125381760 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 23394125381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47756233500300).

23394125381760 is an abundant number, since it is smaller than the sum of its proper divisors (72118341618840).

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

23394125381760 is a wasteful number, since it uses less digits than its factorization.

23394125381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358909 (or 1358887 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 23394125381760 in words is "twenty-three trillion, three hundred ninety-four billion, one hundred twenty-five million, three hundred eighty-one thousand, seven hundred sixty".