19995116064 has 192 divisors, whose sum is σ = 67550257152. Its totient is φ = 5025945600.

The previous prime is 19995116059. The next prime is 19995116101. The reversal of 19995116064 is 46061159991.

It is a junction number, because it is equal to n+sod(n) for n = 19995115998 and 19995116016.

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, 185524 + ... + 272780.

It is an arithmetic number, because the mean of its divisors is an integer number (351824256).

Almost surely, 2^19995116064 is an apocalyptic number.

19995116064 is a gapful number since it is divisible by the number (14) 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 19995116064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33775128576).

19995116064 is an abundant number, since it is smaller than the sum of its proper divisors (47555141088).

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

19995116064 is a wasteful number, since it uses less digits than its factorization.

19995116064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87319 (or 87311 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 51.

The spelling of 19995116064 in words is "nineteen billion, nine hundred ninety-five million, one hundred sixteen thousand, sixty-four".