19620016416 has 864 divisors, whose sum is σ = 79054859520. Its totient is φ = 4482846720.

The previous prime is 19620016397. The next prime is 19620016433. The reversal of 19620016416 is 61461002691.

19620016416 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 0 + 0 + 1 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 72936730 + ... + 72936998.

It is an arithmetic number, because the mean of its divisors is an integer number (91498680).

Almost surely, 2^19620016416 is an apocalyptic number.

19620016416 is a gapful number since it is divisible by the number (16) 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 19620016416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39527429760).

19620016416 is an abundant number, since it is smaller than the sum of its proper divisors (59434843104).

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

19620016416 is a wasteful number, since it uses less digits than its factorization.

19620016416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 19620016416 in words is "nineteen billion, six hundred twenty million, sixteen thousand, four hundred sixteen".