1393275538200 has 1536 divisors, whose sum is σ = 5956898734080. Its totient is φ = 260997120000.

The previous prime is 1393275538141. The next prime is 1393275538243. The reversal of 1393275538200 is 28355723931.

It is a happy number.

It is a super-3 number, since 3×1393275538200³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1393275538200.

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 383 ways as a sum of consecutive naturals, for example, 1179741610 + ... + 1179742790.

It is an arithmetic number, because the mean of its divisors is an integer number (3878189280).

Almost surely, 2^{1393275538200} is an apocalyptic number.

1393275538200 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 1393275538200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978449367040).

1393275538200 is an abundant number, since it is smaller than the sum of its proper divisors (4563623195880).

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

1393275538200 is a wasteful number, since it uses less digits than its factorization.

1393275538200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 1393275538200 in words is "one trillion, three hundred ninety-three billion, two hundred seventy-five million, five hundred thirty-eight thousand, two hundred".