16993229760 has 1120 divisors, whose sum is σ = 70634108160. Its totient is φ = 3845947392.

The previous prime is 16993229753. The next prime is 16993229777. The reversal of 16993229760 is 6792239961.

It is a super-2 number, since 2×16993229760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16993229697 and 16993229706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 361558057 + ... + 361558103.

It is an arithmetic number, because the mean of its divisors is an integer number (63066168).

Almost surely, 2^16993229760 is an apocalyptic number.

16993229760 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 16993229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35317054080).

16993229760 is an abundant number, since it is smaller than the sum of its proper divisors (53640878400).

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

16993229760 is a wasteful number, since it uses less digits than its factorization.

16993229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

It can be divided in two parts, 16993 and 229760, that added together give a triangular number (246753 = T₇₀₂).

The spelling of 16993229760 in words is "sixteen billion, nine hundred ninety-three million, two hundred twenty-nine thousand, seven hundred sixty".