19916416512 has 320 divisors, whose sum is σ = 62538854400. Its totient is φ = 6240706560.

The previous prime is 19916416477. The next prime is 19916416549. The reversal of 19916416512 is 21561461991.

19916416512 is a `hidden beast` number, since 1 + 9 + 91 + 6 + 41 + 6 + 512 = 666.

It is a super-2 number, since 2×19916416512² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50167098 + ... + 50167494.

It is an arithmetic number, because the mean of its divisors is an integer number (195433920).

Almost surely, 2^19916416512 is an apocalyptic number.

19916416512 is a gapful number since it is divisible by the number (12) 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 19916416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31269427200).

19916416512 is an abundant number, since it is smaller than the sum of its proper divisors (42622437888).

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

19916416512 is a wasteful number, since it uses less digits than its factorization.

19916416512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 612 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The spelling of 19916416512 in words is "nineteen billion, nine hundred sixteen million, four hundred sixteen thousand, five hundred twelve".