420825754584 has 192 divisors, whose sum is σ = 1224984384000. Its totient is φ = 130035870720.

The previous prime is 420825754579. The next prime is 420825754607. The reversal of 420825754584 is 485457528024.

420825754584 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 2 + 5 + 7 + 54 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 420825754584.

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 47 ways as a sum of consecutive naturals, for example, 126791277 + ... + 126794595.

It is an arithmetic number, because the mean of its divisors is an integer number (6380127000).

Almost surely, 2^420825754584 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 420825754584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612492192000).

420825754584 is an abundant number, since it is smaller than the sum of its proper divisors (804158629416).

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

420825754584 is a wasteful number, since it uses less digits than its factorization.

420825754584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 14336000, while the sum is 54.

The spelling of 420825754584 in words is "four hundred twenty billion, eight hundred twenty-five million, seven hundred fifty-four thousand, five hundred eighty-four".