1924225056000 has 1728 divisors, whose sum is σ = 7855380449280. Its totient is φ = 449003520000.

The previous prime is 1924225055971. The next prime is 1924225056007. The reversal of 1924225056000 is 6505224291.

1924225056000 is a `hidden beast` number, since 1 + 9 + 2 + 42 + 2 + 5 + 0 + 5 + 600 + 0 = 666.

It is a super-2 number, since 2×1924225056000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1924225056007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6847775860 + ... + 6847776140.

It is an arithmetic number, because the mean of its divisors is an integer number (4545937760).

Almost surely, 2^{1924225056000} is an apocalyptic number.

1924225056000 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 1924225056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927690224640).

1924225056000 is an abundant number, since it is smaller than the sum of its proper divisors (5931155393280).

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

1924225056000 is a wasteful number, since it uses less digits than its factorization.

1924225056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1924225056000 in words is "one trillion, nine hundred twenty-four billion, two hundred twenty-five million, fifty-six thousand".