16623917735040 has 1536 divisors, whose sum is σ = 74515773795840. Its totient is φ = 3314681118720.

The previous prime is 16623917734997. The next prime is 16623917735063. The reversal of 16623917735040 is 4053771932661.

16623917735040 is a `hidden beast` number, since 1 + 6 + 6 + 239 + 17 + 7 + 350 + 40 = 666.

It is a super-2 number, since 2×16623917735040² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1197940582 + ... + 1197954458.

It is an arithmetic number, because the mean of its divisors is an integer number (48512873565).

Almost surely, 2^{16623917735040} is an apocalyptic number.

16623917735040 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 16623917735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37257886897920).

16623917735040 is an abundant number, since it is smaller than the sum of its proper divisors (57891856060800).

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

16623917735040 is a wasteful number, since it uses less digits than its factorization.

16623917735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14030 (or 14015 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 16623917735040 in words is "sixteen trillion, six hundred twenty-three billion, nine hundred seventeen million, seven hundred thirty-five thousand, forty".