10021670504604 has 192 divisors, whose sum is σ = 29584575175680. Its totient is φ = 2904036157440.

The previous prime is 10021670504603. The next prime is 10021670504617. The reversal of 10021670504604 is 40640507612001.

10021670504604 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 6 + 70 + 504 + 60 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021670504603) 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, 103591584 + ... + 103688280.

It is an arithmetic number, because the mean of its divisors is an integer number (154086329040).

Almost surely, 2^{10021670504604} 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 10021670504604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14792287587840).

10021670504604 is an abundant number, since it is smaller than the sum of its proper divisors (19562904671076).

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

10021670504604 is a wasteful number, since it uses less digits than its factorization.

10021670504604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100537 (or 100529 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10021670504604 in words is "ten trillion, twenty-one billion, six hundred seventy million, five hundred four thousand, six hundred four".