12350741760 has 576 divisors, whose sum is σ = 52745011200. Its totient is φ = 2673451008.

The previous prime is 12350741759. The next prime is 12350741773. The reversal of 12350741760 is 6714705321.

It is a happy number.

12350741760 is a `hidden beast` number, since 1 + 235 + 0 + 7 + 417 + 6 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4595137 + ... + 4597823.

It is an arithmetic number, because the mean of its divisors is an integer number (91571200).

Almost surely, 2^12350741760 is an apocalyptic number.

12350741760 is a gapful number since it is divisible by the number (10) 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 12350741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26372505600).

12350741760 is an abundant number, since it is smaller than the sum of its proper divisors (40394269440).

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

12350741760 is a wasteful number, since it uses less digits than its factorization.

12350741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 12350741760 in words is "twelve billion, three hundred fifty million, seven hundred forty-one thousand, seven hundred sixty".