1225019593728 has 1056 divisors, whose sum is σ = 4425345433600. Its totient is φ = 337983528960.

The previous prime is 1225019593709. The next prime is 1225019593783. The reversal of 1225019593728 is 8273959105221.

1225019593728 is a `hidden beast` number, since 1 + 2 + 25 + 0 + 1 + 9 + 593 + 7 + 28 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2645830425 + ... + 2645830887.

Almost surely, 2^{1225019593728} is an apocalyptic number.

1225019593728 is a gapful number since it is divisible by the number (18) 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 1225019593728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212672716800).

1225019593728 is an abundant number, since it is smaller than the sum of its proper divisors (3200325839872).

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

1225019593728 is an frugal number, since it uses more digits than its factorization.

1225019593728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 1225019593728 in words is "one trillion, two hundred twenty-five billion, nineteen million, five hundred ninety-three thousand, seven hundred twenty-eight".