13021706880 has 1024 divisors, whose sum is σ = 58262400000. Its totient is φ = 2747437056.

The previous prime is 13021706879. The next prime is 13021706911. The reversal of 13021706880 is 8860712031.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1001669754 + ... + 1001669766.

It is an arithmetic number, because the mean of its divisors is an integer number (56896875).

Almost surely, 2^13021706880 is an apocalyptic number.

13021706880 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 13021706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29131200000).

13021706880 is an abundant number, since it is smaller than the sum of its proper divisors (45240693120).

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

13021706880 is an frugal number, since it uses more digits than its factorization.

13021706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 13021706880 in words is "thirteen billion, twenty-one million, seven hundred six thousand, eight hundred eighty".