19918977000 has 256 divisors, whose sum is σ = 67239244800. Its totient is φ = 4880332800.

The previous prime is 19918976999. The next prime is 19918977007. The reversal of 19918977000 is 77981991.

It is not an unprimeable number, because it can be changed into a prime (19918977007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9319932 + ... + 9322068.

It is an arithmetic number, because the mean of its divisors is an integer number (262653300).

Almost surely, 2^19918977000 is an apocalyptic number.

19918977000 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 19918977000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33619622400).

19918977000 is an abundant number, since it is smaller than the sum of its proper divisors (47320267800).

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

19918977000 is a wasteful number, since it uses less digits than its factorization.

19918977000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 51.

The spelling of 19918977000 in words is "nineteen billion, nine hundred eighteen million, nine hundred seventy-seven thousand".