420153785856 has 400 divisors, whose sum is σ = 1438909046784. Its totient is φ = 119565766656.

The previous prime is 420153785801. The next prime is 420153785893. The reversal of 420153785856 is 658587351024.

420153785856 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 53 + 7 + 8 + 585 + 6 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 76347201 + ... + 76352703.

Almost surely, 2^420153785856 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 420153785856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719454523392).

420153785856 is an abundant number, since it is smaller than the sum of its proper divisors (1018755260928).

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

420153785856 is an equidigital number, since it uses as much as digits as its factorization.

420153785856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5803 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 420153785856 in words is "four hundred twenty billion, one hundred fifty-three million, seven hundred eighty-five thousand, eight hundred fifty-six".