10216012135776 has 192 divisors, whose sum is σ = 28417945651200. Its totient is φ = 3208584974336.

The previous prime is 10216012135739. The next prime is 10216012135787. The reversal of 10216012135776 is 67753121061201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22276081 + ... + 22730063.

It is an arithmetic number, because the mean of its divisors is an integer number (148010133600).

Almost surely, 2^{10216012135776} is an apocalyptic number.

10216012135776 is a gapful number since it is divisible by the number (16) 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 10216012135776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14208972825600).

10216012135776 is an abundant number, since it is smaller than the sum of its proper divisors (18201933515424).

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

10216012135776 is a wasteful number, since it uses less digits than its factorization.

10216012135776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454221 (or 454213 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

Adding to 10216012135776 its reverse (67753121061201), we get a palindrome (77969133196977).

The spelling of 10216012135776 in words is "ten trillion, two hundred sixteen billion, twelve million, one hundred thirty-five thousand, seven hundred seventy-six".