19992538800 has 480 divisors, whose sum is σ = 77288386560. Its totient is φ = 4879180800.

The previous prime is 19992538793. The next prime is 19992538861. The reversal of 19992538800 is 883529991.

19992538800 is a `hidden beast` number, since 19 + 9 + 92 + 538 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18391857 + ... + 18392943.

It is an arithmetic number, because the mean of its divisors is an integer number (161017472).

Almost surely, 2^19992538800 is an apocalyptic number.

19992538800 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 19992538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38644193280).

19992538800 is an abundant number, since it is smaller than the sum of its proper divisors (57295847760).

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

19992538800 is a wasteful number, since it uses less digits than its factorization.

19992538800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 19992538800 in words is "nineteen billion, nine hundred ninety-two million, five hundred thirty-eight thousand, eight hundred".