1356964823760 has 640 divisors, whose sum is σ = 5244754980864. Its totient is φ = 282593525760.

The previous prime is 1356964823707. The next prime is 1356964823771. The reversal of 1356964823760 is 673284696531.

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 = 1356964823694 and 1356964823703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1158807975 + ... + 1158809145.

It is a 1-persistent number, because it is pandigital, but 2⋅1356964823760 = 2713929647520 is not.

Almost surely, 2^{1356964823760} is an apocalyptic number.

1356964823760 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 1356964823760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622377490432).

1356964823760 is an abundant number, since it is smaller than the sum of its proper divisors (3887790157104).

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

1356964823760 is a wasteful number, since it uses less digits than its factorization.

1356964823760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 1356964823760 in words is "one trillion, three hundred fifty-six billion, nine hundred sixty-four million, eight hundred twenty-three thousand, seven hundred sixty".