1335120815616 has 320 divisors, whose sum is σ = 4260092812800. Its totient is φ = 371147857920.

The previous prime is 1335120815563. The next prime is 1335120815627. The reversal of 1335120815616 is 6165180215331.

It is a super-2 number, since 2×1335120815616² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19459131 + ... + 19527621.

It is an arithmetic number, because the mean of its divisors is an integer number (13312790040).

Almost surely, 2^{1335120815616} is an apocalyptic number.

1335120815616 is a gapful number since it is divisible by the number (16) 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 1335120815616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130046406400).

1335120815616 is an abundant number, since it is smaller than the sum of its proper divisors (2924971997184).

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

1335120815616 is an frugal number, since it uses more digits than its factorization.

1335120815616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68570 (or 68540 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 1335120815616 in words is "one trillion, three hundred thirty-five billion, one hundred twenty million, eight hundred fifteen thousand, six hundred sixteen".