16419886560 has 1152 divisors, whose sum is σ = 76626321408. Its totient is φ = 3096576000.

The previous prime is 16419886519. The next prime is 16419886573. The reversal of 16419886560 is 6568891461.

16419886560 is a `hidden beast` number, since 1 + 64 + 19 + 8 + 8 + 6 + 560 = 666.

It is a super-4 number, since 4×16419886560⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 16419886497 and 16419886506.

It is a congruent number.

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, 58433620 + ... + 58433900.

It is an arithmetic number, because the mean of its divisors is an integer number (66515904).

Almost surely, 2^16419886560 is an apocalyptic number.

16419886560 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 16419886560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38313160704).

16419886560 is an abundant number, since it is smaller than the sum of its proper divisors (60206434848).

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

16419886560 is a wasteful number, since it uses less digits than its factorization.

16419886560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 16419886560 in words is "sixteen billion, four hundred nineteen million, eight hundred eighty-six thousand, five hundred sixty".