16170053058432 has 2304 divisors, whose sum is σ = 63758874816000. Its totient is φ = 3982705459200.

The previous prime is 16170053058389. The next prime is 16170053058457. The reversal of 16170053058432 is 23485035007161.

It is a happy number.

16170053058432 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 0 + 0 + 5 + 30 + 584 + 32 = 666.

It is a super-2 number, since 2×16170053058432² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 70611585294 + ... + 70611585522.

It is an arithmetic number, because the mean of its divisors is an integer number (27673122750).

Almost surely, 2^{16170053058432} is an apocalyptic number.

16170053058432 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 16170053058432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31879437408000).

16170053058432 is an abundant number, since it is smaller than the sum of its proper divisors (47588821757568).

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

16170053058432 is a wasteful number, since it uses less digits than its factorization.

16170053058432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 16170053058432 in words is "sixteen trillion, one hundred seventy billion, fifty-three million, fifty-eight thousand, four hundred thirty-two".