16927354080 has 960 divisors, whose sum is σ = 76061196288. Its totient is φ = 3448811520.

The previous prime is 16927354079. The next prime is 16927354117. The reversal of 16927354080 is 8045372961.

16927354080 is a `hidden beast` number, since 1 + 6 + 9 + 27 + 3 + 540 + 80 = 666.

It is a super-2 number, since 2×16927354080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36559929 + ... + 36560391.

It is a 1-persistent number, because it is pandigital, but 2⋅16927354080 = 33854708160 is not.

Almost surely, 2^16927354080 is an apocalyptic number.

16927354080 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 16927354080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38030598144).

16927354080 is an abundant number, since it is smaller than the sum of its proper divisors (59133842208).

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

16927354080 is a wasteful number, since it uses less digits than its factorization.

16927354080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 16927354080 in words is "sixteen billion, nine hundred twenty-seven million, three hundred fifty-four thousand, eighty".