13633056550050 has 192 divisors, whose sum is σ = 38791176134400. Its totient is φ = 3103940689920.

The previous prime is 13633056550007. The next prime is 13633056550079. The reversal of 13633056550050 is 5005565033631.

It is a super-2 number, since 2×13633056550050² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13633056549984 and 13633056550011.

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, 1540628026 + ... + 1540636874.

It is an arithmetic number, because the mean of its divisors is an integer number (202037375700).

Almost surely, 2^{13633056550050} is an apocalyptic number.

13633056550050 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 13633056550050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19395588067200).

13633056550050 is an abundant number, since it is smaller than the sum of its proper divisors (25158119584350).

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

13633056550050 is a wasteful number, since it uses less digits than its factorization.

13633056550050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14445 (or 14440 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 42.

The spelling of 13633056550050 in words is "thirteen trillion, six hundred thirty-three billion, fifty-six million, five hundred fifty thousand, fifty".