1355683125720 has 256 divisors, whose sum is σ = 5092952371200. Its totient is φ = 280458984960.

The previous prime is 1355683125707. The next prime is 1355683125751. The reversal of 1355683125720 is 275213865531.

It is a self number, because there is not a number n which added to its sum of digits gives 1355683125720.

It is a congruent number.

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, 1774311 + ... + 2420649.

It is an arithmetic number, because the mean of its divisors is an integer number (19894345200).

Almost surely, 2^{1355683125720} is an apocalyptic number.

1355683125720 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 1355683125720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546476185600).

1355683125720 is an abundant number, since it is smaller than the sum of its proper divisors (3737269245480).

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

1355683125720 is a wasteful number, since it uses less digits than its factorization.

1355683125720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646598 (or 646594 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 1355683125720 in words is "one trillion, three hundred fifty-five billion, six hundred eighty-three million, one hundred twenty-five thousand, seven hundred twenty".