1355652816000 has 768 divisors, whose sum is σ = 5396627358720. Its totient is φ = 299851776000.

The previous prime is 1355652815953. The next prime is 1355652816073. The reversal of 1355652816000 is 6182565531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72902704 + ... + 72921296.

It is an arithmetic number, because the mean of its divisors is an integer number (7026858540).

Almost surely, 2^{1355652816000} is an apocalyptic number.

1355652816000 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 1355652816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698313679360).

1355652816000 is an abundant number, since it is smaller than the sum of its proper divisors (4040974542720).

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

1355652816000 is a wasteful number, since it uses less digits than its factorization.

1355652816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18670 (or 18641 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 1355652816000 in words is "one trillion, three hundred fifty-five billion, six hundred fifty-two million, eight hundred sixteen thousand".