19762122016 has 96 divisors (see below), whose sum is σ = 49053368448. Its totient is φ = 7627253760.

The previous prime is 19762121989. The next prime is 19762122041. The reversal of 19762122016 is 61022126791.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36631 + ... + 202153.

It is an arithmetic number, because the mean of its divisors is an integer number (510972588).

Almost surely, 2^19762122016 is an apocalyptic number.

19762122016 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 19762122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24526684224).

19762122016 is an abundant number, since it is smaller than the sum of its proper divisors (29291246432).

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

19762122016 is a wasteful number, since it uses less digits than its factorization.

19762122016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165594 (or 165586 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

It can be divided in two parts, 19762 and 122016, that added together give a triangular number (141778 = T₅₃₂).

The spelling of 19762122016 in words is "nineteen billion, seven hundred sixty-two million, one hundred twenty-two thousand, sixteen".