13553016768 has 224 divisors, whose sum is σ = 42074592000. Its totient is φ = 4266224640.

The previous prime is 13553016739. The next prime is 13553016769. The reversal of 13553016768 is 86761035531.

13553016768 is a `hidden beast` number, since 1 + 35 + 530 + 16 + 76 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13553016769) 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, 16711083 + ... + 16711893.

It is an arithmetic number, because the mean of its divisors is an integer number (187833000).

Almost surely, 2^13553016768 is an apocalyptic number.

13553016768 is a gapful number since it is divisible by the number (18) 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 13553016768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21037296000).

13553016768 is an abundant number, since it is smaller than the sum of its proper divisors (28521575232).

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

13553016768 is a wasteful number, since it uses less digits than its factorization.

13553016768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 13553016768 in words is "thirteen billion, five hundred fifty-three million, sixteen thousand, seven hundred sixty-eight".