1745253138720 has 384 divisors, whose sum is σ = 6779856384000. Its totient is φ = 367486709760.

The previous prime is 1745253138683. The next prime is 1745253138731. The reversal of 1745253138720 is 278313525471.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1745253138720.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21756285 + ... + 21836355.

It is an arithmetic number, because the mean of its divisors is an integer number (17655876000).

Almost surely, 2^{1745253138720} is an apocalyptic number.

1745253138720 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 1745253138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389928192000).

1745253138720 is an abundant number, since it is smaller than the sum of its proper divisors (5034603245280).

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

1745253138720 is a wasteful number, since it uses less digits than its factorization.

1745253138720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80608 (or 80600 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 1745253138720 in words is "one trillion, seven hundred forty-five billion, two hundred fifty-three million, one hundred thirty-eight thousand, seven hundred twenty".