12883366379520 has 2592 divisors, whose sum is σ = 58479514748928. Its totient is φ = 2696845197312.

The previous prime is 12883366379503. The next prime is 12883366379539. The reversal of 12883366379520 is 2597366338821.

It is a happy number.

12883366379520 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 3 + 36 + 6 + 3 + 79 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×12883366379520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 101443829697 + ... + 101443829823.

It is an arithmetic number, because the mean of its divisors is an integer number (22561541184).

Almost surely, 2^{12883366379520} is an apocalyptic number.

12883366379520 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 12883366379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29239757374464).

12883366379520 is an abundant number, since it is smaller than the sum of its proper divisors (45596148369408).

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

12883366379520 is an frugal number, since it uses more digits than its factorization.

12883366379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 12883366379520 in words is "twelve trillion, eight hundred eighty-three billion, three hundred sixty-six million, three hundred seventy-nine thousand, five hundred twenty".