12382623760 has 320 divisors, whose sum is σ = 33997824000. Its totient is φ = 4154996736.

The previous prime is 12382623749. The next prime is 12382623769. The reversal of 12382623760 is 6732628321.

12382623760 = T₁₁₀₅₆ + T₁₁₀₅₇ + ... + T₁₁₂₅₄.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12382623769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62224141 + ... + 62224339.

It is an arithmetic number, because the mean of its divisors is an integer number (106243200).

Almost surely, 2^12382623760 is an apocalyptic number.

12382623760 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 12382623760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16998912000).

12382623760 is an abundant number, since it is smaller than the sum of its proper divisors (21615200240).

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

12382623760 is a wasteful number, since it uses less digits than its factorization.

12382623760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 12382623760 in words is "twelve billion, three hundred eighty-two million, six hundred twenty-three thousand, seven hundred sixty".