19818920160 has 768 divisors, whose sum is σ = 79354598400. Its totient is φ = 4584480768.

The previous prime is 19818920137. The next prime is 19818920179. The reversal of 19818920160 is 6102981891.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70031379 + ... + 70031661.

It is an arithmetic number, because the mean of its divisors is an integer number (103326300).

Almost surely, 2^19818920160 is an apocalyptic number.

19818920160 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 19818920160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39677299200).

19818920160 is an abundant number, since it is smaller than the sum of its proper divisors (59535678240).

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

19818920160 is a wasteful number, since it uses less digits than its factorization.

19818920160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 19818920160 in words is "nineteen billion, eight hundred eighteen million, nine hundred twenty thousand, one hundred sixty".