1356200616960 has 1408 divisors, whose sum is σ = 6140606976000. Its totient is φ = 276334903296.

The previous prime is 1356200616937. The next prime is 1356200617003. The reversal of 1356200616960 is 696160026531.

1356200616960 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 20 + 0 + 616 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×1356200616960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 312558471 + ... + 312562809.

Almost surely, 2^{1356200616960} is an apocalyptic number.

1356200616960 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 1356200616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070303488000).

1356200616960 is an abundant number, since it is smaller than the sum of its proper divisors (4784406359040).

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

1356200616960 is a wasteful number, since it uses less digits than its factorization.

1356200616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 1356200616960 in words is "one trillion, three hundred fifty-six billion, two hundred million, six hundred sixteen thousand, nine hundred sixty".