1029534581016 has 256 divisors, whose sum is σ = 3002628096000. Its totient is φ = 326457630720.

The previous prime is 1029534580961. The next prime is 1029534581029. The reversal of 1029534581016 is 6101854359201.

It is a happy number.

1029534581016 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 53 + 4 + 581 + 0 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123249096 + ... + 123257448.

It is an arithmetic number, because the mean of its divisors is an integer number (11729016000).

Almost surely, 2^{1029534581016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029534581016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501314048000).

1029534581016 is an abundant number, since it is smaller than the sum of its proper divisors (1973093514984).

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

1029534581016 is a wasteful number, since it uses less digits than its factorization.

1029534581016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8711 (or 8701 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1029534581016 in words is "one trillion, twenty-nine billion, five hundred thirty-four million, five hundred eighty-one thousand, sixteen".