19742952516 has 192 divisors, whose sum is σ = 60574187520. Its totient is φ = 4867153920.

The previous prime is 19742952487. The next prime is 19742952527. The reversal of 19742952516 is 61525924791.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 829356 + ... + 852828.

It is an arithmetic number, because the mean of its divisors is an integer number (315490560).

Almost surely, 2^19742952516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19742952516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30287093760).

19742952516 is an abundant number, since it is smaller than the sum of its proper divisors (40831235004).

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

19742952516 is a wasteful number, since it uses less digits than its factorization.

19742952516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23554 (or 23552 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The spelling of 19742952516 in words is "nineteen billion, seven hundred forty-two million, nine hundred fifty-two thousand, five hundred sixteen".