192427425792000 has 1520 divisors, whose sum is σ = 820058721163968. Its totient is φ = 43979164876800.

The previous prime is 192427425791879. The next prime is 192427425792071. The reversal of 192427425792000 is 297524724291.

192427425792000 is a `hidden beast` number, since 1 + 9 + 2 + 4 + 2 + 7 + 42 + 579 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18579450822 + ... + 18579461178.

Almost surely, 2^{192427425792000} is an apocalyptic number.

192427425792000 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 192427425792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410029360581984).

192427425792000 is an abundant number, since it is smaller than the sum of its proper divisors (627631295371968).

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

192427425792000 is an frugal number, since it uses more digits than its factorization.

192427425792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10427 (or 10374 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 192427425792000 in words is "one hundred ninety-two trillion, four hundred twenty-seven billion, four hundred twenty-five million, seven hundred ninety-two thousand".