12890363477520 has 160 divisors (see below), whose sum is σ = 40036580601984. Its totient is φ = 3430857830400.

The previous prime is 12890363477501. The next prime is 12890363477527. The reversal of 12890363477520 is 2577436309821.

It is a super-2 number, since 2×12890363477520² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12890363477527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433230964 + ... + 433260716.

It is a 1-persistent number, because it is pandigital, but 2⋅12890363477520 = 25780726955040 is not.

Almost surely, 2^{12890363477520} is an apocalyptic number.

12890363477520 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 12890363477520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20018290300992).

12890363477520 is an abundant number, since it is smaller than the sum of its proper divisors (27146217124464).

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

12890363477520 is a wasteful number, since it uses less digits than its factorization.

12890363477520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33161 (or 33155 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 12890363477520 in words is "twelve trillion, eight hundred ninety billion, three hundred sixty-three million, four hundred seventy-seven thousand, five hundred twenty".