1828421579520 has 792 divisors, whose sum is σ = 6960749414976. Its totient is φ = 458575478784.

The previous prime is 1828421579489. The next prime is 1828421579561. The reversal of 1828421579520 is 259751248281.

It is a happy number.

1828421579520 is a `hidden beast` number, since 1 + 8 + 2 + 8 + 42 + 1 + 5 + 79 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 1284905529 + ... + 1284906951.

Almost surely, 2^{1828421579520} is an apocalyptic number.

1828421579520 is a gapful number since it is divisible by the number (10) 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 1828421579520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480374707488).

1828421579520 is an abundant number, since it is smaller than the sum of its proper divisors (5132327835456).

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

1828421579520 is an frugal number, since it uses more digits than its factorization.

1828421579520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 1828421579520 in words is "one trillion, eight hundred twenty-eight billion, four hundred twenty-one million, five hundred seventy-nine thousand, five hundred twenty".