19127900160 has 144 divisors (see below), whose sum is σ = 66294184320. Its totient is φ = 5100748800.

The previous prime is 19127900131. The next prime is 19127900161. The reversal of 19127900160 is 6100972191.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19127900161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11616 + ... + 195935.

It is an arithmetic number, because the mean of its divisors is an integer number (460376280).

Almost surely, 2^19127900160 is an apocalyptic number.

19127900160 is a gapful number since it is divisible by the number (10) 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 19127900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33147092160).

19127900160 is an abundant number, since it is smaller than the sum of its proper divisors (47166284160).

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

19127900160 is a wasteful number, since it uses less digits than its factorization.

19127900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207584 (or 207561 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 19127900160 in words is "nineteen billion, one hundred twenty-seven million, nine hundred thousand, one hundred sixty".