820492128000 has 864 divisors, whose sum is σ = 3153692505600. Its totient is φ = 204374016000.

The previous prime is 820492127989. The next prime is 820492128017. The reversal of 820492128000 is 821294028.

820492128000 is a `hidden beast` number, since 82 + 0 + 492 + 12 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258910416 + ... + 258913584.

Almost surely, 2^820492128000 is an apocalyptic number.

820492128000 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 820492128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576846252800).

820492128000 is an abundant number, since it is smaller than the sum of its proper divisors (2333200377600).

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

820492128000 is a wasteful number, since it uses less digits than its factorization.

820492128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 820492128000 in words is "eight hundred twenty billion, four hundred ninety-two million, one hundred twenty-eight thousand".