1352968193760 has 192 divisors, whose sum is σ = 4294326564864. Its totient is φ = 358052659200.

The previous prime is 1352968193683. The next prime is 1352968193767. The reversal of 1352968193760 is 673918692531.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1352968193694 and 1352968193703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352968193767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33410325 + ... + 33450795.

It is an arithmetic number, because the mean of its divisors is an integer number (22366284192).

Almost surely, 2^{1352968193760} is an apocalyptic number.

1352968193760 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 1352968193760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147163282432).

1352968193760 is an abundant number, since it is smaller than the sum of its proper divisors (2941358371104).

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

1352968193760 is a wasteful number, since it uses less digits than its factorization.

1352968193760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41017 (or 41009 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 60.

The spelling of 1352968193760 in words is "one trillion, three hundred fifty-two billion, nine hundred sixty-eight million, one hundred ninety-three thousand, seven hundred sixty".