1792253848320 has 1152 divisors, whose sum is σ = 7344207118080. Its totient is φ = 415075663872.

The previous prime is 1792253848261. The next prime is 1792253848327. The reversal of 1792253848320 is 238483522971.

1792253848320 is a `hidden beast` number, since 1 + 7 + 9 + 2 + 2 + 538 + 4 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (1792253848327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 618657112 + ... + 618660008.

It is an arithmetic number, because the mean of its divisors is an integer number (6375179790).

Almost surely, 2^{1792253848320} is an apocalyptic number.

1792253848320 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 1792253848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672103559040).

1792253848320 is an abundant number, since it is smaller than the sum of its proper divisors (5551953269760).

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

1792253848320 is an equidigital number, since it uses as much as digits as its factorization.

1792253848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1792253848320 in words is "one trillion, seven hundred ninety-two billion, two hundred fifty-three million, eight hundred forty-eight thousand, three hundred twenty".