192430080000 has 900 divisors, whose sum is σ = 743183269290. Its totient is φ = 49545216000.

The previous prime is 192430079999. The next prime is 192430080091. The reversal of 192430080000 is 80034291.

It can be written as a sum of positive squares in 5 ways, for example, as 2808152064 + 189621927936 = 52992^2 + 435456^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6635519986 + ... + 6635520014.

Almost surely, 2^192430080000 is an apocalyptic number.

192430080000 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 192430080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371591634645).

192430080000 is an abundant number, since it is smaller than the sum of its proper divisors (550753189290).

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

192430080000 is an frugal number, since it uses more digits than its factorization.

192430080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 192430080000 in words is "one hundred ninety-two billion, four hundred thirty million, eighty thousand".