820971429828816 has 160 divisors (see below), whose sum is σ = 2441355582131200. Its totient is φ = 232866448680960.

The previous prime is 820971429828799. The next prime is 820971429828817. The reversal of 820971429828816 is 618828924179028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820971429828817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1212517731 + ... + 1213194621.

It is an arithmetic number, because the mean of its divisors is an integer number (15258472388320).

Almost surely, 2^{820971429828816} 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 820971429828816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220677791065600).

820971429828816 is an abundant number, since it is smaller than the sum of its proper divisors (1620384152302384).

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

820971429828816 is a wasteful number, since it uses less digits than its factorization.

820971429828816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703017 (or 703011 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 75.

The spelling of 820971429828816 in words is "eight hundred twenty trillion, nine hundred seventy-one billion, four hundred twenty-nine million, eight hundred twenty-eight thousand, eight hundred sixteen".