19020018960 has 240 divisors, whose sum is σ = 65052711360. Its totient is φ = 4979082240.

The previous prime is 19020018959. The next prime is 19020018971. The reversal of 19020018960 is 6981002091.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×19020018960² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20212090 + ... + 20213030.

It is an arithmetic number, because the mean of its divisors is an integer number (271052964).

Almost surely, 2^19020018960 is an apocalyptic number.

19020018960 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 19020018960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32526355680).

19020018960 is an abundant number, since it is smaller than the sum of its proper divisors (46032692400).

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

19020018960 is a wasteful number, since it uses less digits than its factorization.

19020018960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 19020018960 in words is "nineteen billion, twenty million, eighteen thousand, nine hundred sixty".