1629016796160 has 528 divisors, whose sum is σ = 6115041747360. Its totient is φ = 400963829760.

The previous prime is 1629016796137. The next prime is 1629016796161. The reversal of 1629016796160 is 616976109261.

It is a happy number.

1629016796160 is a `hidden beast` number, since 1 + 6 + 2 + 9 + 0 + 16 + 7 + 9 + 616 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1629016796097 and 1629016796106.

It is not an unprimeable number, because it can be changed into a prime (1629016796161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101229715 + ... + 101245805.

Almost surely, 2^{1629016796160} is an apocalyptic number.

1629016796160 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 1629016796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057520873680).

1629016796160 is an abundant number, since it is smaller than the sum of its proper divisors (4486024951200).

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

1629016796160 is a wasteful number, since it uses less digits than its factorization.

1629016796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16161 (or 16114 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 1629016796160 in words is "one trillion, six hundred twenty-nine billion, sixteen million, seven hundred ninety-six thousand, one hundred sixty".