820570992000 has 384 divisors, whose sum is σ = 2810929586400. Its totient is φ = 211748352000.

The previous prime is 820570991983. The next prime is 820570992001. The reversal of 820570992000 is 299075028.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820570992001) 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, 46119106 + ... + 46136894.

Almost surely, 2^820570992000 is an apocalyptic number.

820570992000 is a gapful number since it is divisible by the number (80) 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 820570992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405464793200).

820570992000 is an abundant number, since it is smaller than the sum of its proper divisors (1990358594400).

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

820570992000 is a wasteful number, since it uses less digits than its factorization.

820570992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17883 (or 17830 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 820570992000 in words is "eight hundred twenty billion, five hundred seventy million, nine hundred ninety-two thousand".