821925067320 has 256 divisors, whose sum is σ = 3131785036800. Its totient is φ = 187830074880.

The previous prime is 821925067309. The next prime is 821925067399. The reversal of 821925067320 is 23760529128.

821925067320 is a `hidden beast` number, since 8 + 2 + 19 + 250 + 67 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54507622 + ... + 54522698.

It is an arithmetic number, because the mean of its divisors is an integer number (12233535300).

Almost surely, 2^821925067320 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 821925067320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565892518400).

821925067320 is an abundant number, since it is smaller than the sum of its proper divisors (2309859969480).

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

821925067320 is a wasteful number, since it uses less digits than its factorization.

821925067320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22315 (or 22305 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 821925067320 in words is "eight hundred twenty-one billion, nine hundred twenty-five million, sixty-seven thousand, three hundred twenty".