10084285420 has 192 divisors, whose sum is σ = 25566710400. Its totient is φ = 3297853440.

The previous prime is 10084285363. The next prime is 10084285429. The reversal of 10084285420 is 2458248001.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (10084285429) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11821714 + ... + 11822566.

It is an arithmetic number, because the mean of its divisors is an integer number (133159950).

Almost surely, 2^10084285420 is an apocalyptic number.

10084285420 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 10084285420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12783355200).

10084285420 is an abundant number, since it is smaller than the sum of its proper divisors (15482424980).

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

10084285420 is a wasteful number, since it uses less digits than its factorization.

10084285420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The spelling of 10084285420 in words is "ten billion, eighty-four million, two hundred eighty-five thousand, four hundred twenty".