10217390302080 has 4096 divisors, whose sum is σ = 45946414080000. Its totient is φ = 2118949797888.

The previous prime is 10217390302079. The next prime is 10217390302121. The reversal of 10217390302080 is 8020309371201.

10217390302080 is a `hidden beast` number, since 1 + 0 + 217 + 390 + 30 + 20 + 8 + 0 = 666.

10217390302080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 105333920592 + ... + 105333920688.

It is an arithmetic number, because the mean of its divisors is an integer number (11217386250).

Almost surely, 2^{10217390302080} is an apocalyptic number.

10217390302080 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 10217390302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22973207040000).

10217390302080 is an abundant number, since it is smaller than the sum of its proper divisors (35729023777920).

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

10217390302080 is a wasteful number, since it uses less digits than its factorization.

10217390302080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 10217390302080 its reverse (8020309371201), we get a palindrome (18237699673281).

The spelling of 10217390302080 in words is "ten trillion, two hundred seventeen billion, three hundred ninety million, three hundred two thousand, eighty".