19125606816 has 96 divisors (see below), whose sum is σ = 56091672000. Its totient is φ = 6339928320.

The previous prime is 19125606803. The next prime is 19125606833. The reversal of 19125606816 is 61860652191.

19125606816 is a `hidden beast` number, since 1 + 9 + 1 + 2 + 560 + 6 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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, 95235 + ... + 217533.

It is an arithmetic number, because the mean of its divisors is an integer number (584288250).

Almost surely, 2^19125606816 is an apocalyptic number.

19125606816 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 19125606816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28045836000).

19125606816 is an abundant number, since it is smaller than the sum of its proper divisors (36966065184).

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

19125606816 is a wasteful number, since it uses less digits than its factorization.

19125606816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122499 (or 122485 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 19125606816 in words is "nineteen billion, one hundred twenty-five million, six hundred six thousand, eight hundred sixteen".