16933291607400 has 192 divisors, whose sum is σ = 60107389130880. Its totient is φ = 3863037235200.

The previous prime is 16933291607347. The next prime is 16933291607413. The reversal of 16933291607400 is 470619233961.

It is a super-2 number, since 2×16933291607400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1681029 + ... + 6057428.

It is an arithmetic number, because the mean of its divisors is an integer number (313059318390).

Almost surely, 2^{16933291607400} is an apocalyptic number.

16933291607400 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 16933291607400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30053694565440).

16933291607400 is an abundant number, since it is smaller than the sum of its proper divisors (43174097523480).

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

16933291607400 is a wasteful number, since it uses less digits than its factorization.

16933291607400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7739004 (or 7738995 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 16933291607400 in words is "sixteen trillion, nine hundred thirty-three billion, two hundred ninety-one million, six hundred seven thousand, four hundred".