13628450880 has 784 divisors, whose sum is σ = 54689313024. Its totient is φ = 3204956160.

The previous prime is 13628450819. The next prime is 13628450897. The reversal of 13628450880 is 8805482631.

13628450880 is a `hidden beast` number, since 1 + 3 + 62 + 8 + 4 + 508 + 80 = 666.

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 111 ways as a sum of consecutive naturals, for example, 120605704 + ... + 120605816.

Almost surely, 2^13628450880 is an apocalyptic number.

13628450880 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 13628450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27344656512).

13628450880 is an abundant number, since it is smaller than the sum of its proper divisors (41060862144).

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

13628450880 is a wasteful number, since it uses less digits than its factorization.

13628450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 13628450880 in words is "thirteen billion, six hundred twenty-eight million, four hundred fifty thousand, eight hundred eighty".