16513407011712 has 256 divisors, whose sum is σ = 47784810427200. Its totient is φ = 5022256791552.

The previous prime is 16513407011707. The next prime is 16513407011771. The reversal of 16513407011712 is 21711070431561.

It is a happy number.

It is a super-2 number, since 2×16513407011712² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2102811178 + ... + 2102819030.

Almost surely, 2^{16513407011712} is an apocalyptic number.

16513407011712 is a gapful number since it is divisible by the number (12) 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 16513407011712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23892405213600).

16513407011712 is an abundant number, since it is smaller than the sum of its proper divisors (31271403415488).

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

16513407011712 is a wasteful number, since it uses less digits than its factorization.

16513407011712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12705 (or 12693 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The spelling of 16513407011712 in words is "sixteen trillion, five hundred thirteen billion, four hundred seven million, eleven thousand, seven hundred twelve".