1029971817688 has 64 divisors (see below), whose sum is σ = 2122399843200. Its totient is φ = 464695150080.

The previous prime is 1029971817643. The next prime is 1029971817793. The reversal of 1029971817688 is 8867181799201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83575095 + ... + 83587417.

It is an arithmetic number, because the mean of its divisors is an integer number (33162497550).

Almost surely, 2^{1029971817688} 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 1029971817688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061199921600).

1029971817688 is an abundant number, since it is smaller than the sum of its proper divisors (1092428025512).

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

1029971817688 is a wasteful number, since it uses less digits than its factorization.

1029971817688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19312 (or 19308 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 67.

The spelling of 1029971817688 in words is "one trillion, twenty-nine billion, nine hundred seventy-one million, eight hundred seventeen thousand, six hundred eighty-eight".