13553638350 has 192 divisors, whose sum is σ = 39693888000. Its totient is φ = 2995868160.

The previous prime is 13553638349. The next prime is 13553638361. The reversal of 13553638350 is 5383635531.

It is a super-2 number, since 2×13553638350² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6953176 + ... + 6955124.

It is an arithmetic number, because the mean of its divisors is an integer number (206739000).

Almost surely, 2^13553638350 is an apocalyptic number.

13553638350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13553638350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19846944000).

13553638350 is an abundant number, since it is smaller than the sum of its proper divisors (26140249650).

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

13553638350 is a wasteful number, since it uses less digits than its factorization.

13553638350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

The spelling of 13553638350 in words is "thirteen billion, five hundred fifty-three million, six hundred thirty-eight thousand, three hundred fifty".