820425510051840 has 8064 divisors, whose sum is σ = 4005878597360640. Its totient is φ = 158921234841600.

The previous prime is 820425510051793. The next prime is 820425510051853. The reversal of 820425510051840 is 48150015524028.

820425510051840 is a `hidden beast` number, since 8 + 2 + 0 + 4 + 2 + 5 + 510 + 0 + 51 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

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 (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7526839541706 + ... + 7526839541814.

It is an arithmetic number, because the mean of its divisors is an integer number (496760738760).

Almost surely, 2^{820425510051840} is an apocalyptic number.

820425510051840 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 820425510051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002939298680320).

820425510051840 is an abundant number, since it is smaller than the sum of its proper divisors (3185453087308800).

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

820425510051840 is a wasteful number, since it uses less digits than its factorization.

820425510051840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

Adding to 820425510051840 its reverse (48150015524028), we get a palindrome (868575525575868).

The spelling of 820425510051840 in words is "eight hundred twenty trillion, four hundred twenty-five billion, five hundred ten million, fifty-one thousand, eight hundred forty".