13083482880 has 720 divisors, whose sum is σ = 53475405984. Its totient is φ = 3025797120.

The previous prime is 13083482879. The next prime is 13083482891. The reversal of 13083482880 is 8828438031.

13083482880 is a `hidden beast` number, since 13 + 0 + 83 + 482 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22912995 + ... + 22913565.

Almost surely, 2^13083482880 is an apocalyptic number.

13083482880 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 13083482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26737702992).

13083482880 is an abundant number, since it is smaller than the sum of its proper divisors (40391923104).

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

13083482880 is a wasteful number, since it uses less digits than its factorization.

13083482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 13083482880 in words is "thirteen billion, eighty-three million, four hundred eighty-two thousand, eight hundred eighty".