820287953520 has 480 divisors, whose sum is σ = 3135511814400. Its totient is φ = 176271040512.

The previous prime is 820287953483. The next prime is 820287953549. The reversal of 820287953520 is 25359782028.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 251697651 + ... + 251700909.

It is an arithmetic number, because the mean of its divisors is an integer number (6532316280).

Almost surely, 2^820287953520 is an apocalyptic number.

820287953520 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 820287953520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567755907200).

820287953520 is an abundant number, since it is smaller than the sum of its proper divisors (2315223860880).

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

820287953520 is a wasteful number, since it uses less digits than its factorization.

820287953520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4565 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 820287953520 in words is "eight hundred twenty billion, two hundred eighty-seven million, nine hundred fifty-three thousand, five hundred twenty".