16714978560 has 576 divisors, whose sum is σ = 68705871360. Its totient is φ = 3816087552.

The previous prime is 16714978519. The next prime is 16714978627. The reversal of 16714978560 is 6587941761.

16714978560 is a `hidden beast` number, since 1 + 6 + 7 + 1 + 4 + 9 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×16714978560² (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 = 16714978497 and 16714978506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19595094 + ... + 19595946.

Almost surely, 2^16714978560 is an apocalyptic number.

16714978560 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 16714978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34352935680).

16714978560 is an abundant number, since it is smaller than the sum of its proper divisors (51990892800).

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

16714978560 is an frugal number, since it uses more digits than its factorization.

16714978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 16714978560 in words is "sixteen billion, seven hundred fourteen million, nine hundred seventy-eight thousand, five hundred sixty".