10021304875680 has 2688 divisors, whose sum is σ = 44466740398080. Its totient is φ = 2082455101440.

The previous prime is 10021304875679. The next prime is 10021304875753. The reversal of 10021304875680 is 8657840312001.

10021304875680 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 3 + 0 + 4 + 87 + 568 + 0 = 666.

It is a super-2 number, since 2×10021304875680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 55366325190 + ... + 55366325370.

It is an arithmetic number, because the mean of its divisors is an integer number (16542686160).

Almost surely, 2^{10021304875680} is an apocalyptic number.

10021304875680 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 10021304875680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22233370199040).

10021304875680 is an abundant number, since it is smaller than the sum of its proper divisors (34445435522400).

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

10021304875680 is a wasteful number, since it uses less digits than its factorization.

10021304875680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10021304875680 in words is "ten trillion, twenty-one billion, three hundred four million, eight hundred seventy-five thousand, six hundred eighty".