10217539687680 has 2160 divisors, whose sum is σ = 42624332593920. Its totient is φ = 2328446435328.

The previous prime is 10217539687679. The next prime is 10217539687681. The reversal of 10217539687680 is 8678693571201.

10217539687680 is a `hidden beast` number, since 1 + 0 + 2 + 17 + 539 + 6 + 8 + 7 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (10217539687679) and next prime (10217539687681).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217539687681) 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 239 ways as a sum of consecutive naturals, for example, 15647074234 + ... + 15647074886.

It is an arithmetic number, because the mean of its divisors is an integer number (19733487312).

Almost surely, 2^{10217539687680} is an apocalyptic number.

10217539687680 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 10217539687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21312166296960).

10217539687680 is an abundant number, since it is smaller than the sum of its proper divisors (32406792906240).

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

10217539687680 is a wasteful number, since it uses less digits than its factorization.

10217539687680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 10217539687680 in words is "ten trillion, two hundred seventeen billion, five hundred thirty-nine million, six hundred eighty-seven thousand, six hundred eighty".