10415136122216 has 128 divisors (see below), whose sum is σ = 24610521600000. Its totient is φ = 4031201551104.

The previous prime is 10415136122213. The next prime is 10415136122239. The reversal of 10415136122216 is 61222163151401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10415136122213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301295 + ... + 4573953.

It is an arithmetic number, because the mean of its divisors is an integer number (192269700000).

Almost surely, 2^{10415136122216} 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 10415136122216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12305260800000).

10415136122216 is an abundant number, since it is smaller than the sum of its proper divisors (14195385477784).

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

10415136122216 is a wasteful number, since it uses less digits than its factorization.

10415136122216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272799 (or 4272795 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

Adding to 10415136122216 its reverse (61222163151401), we get a palindrome (71637299273617).

The spelling of 10415136122216 in words is "ten trillion, four hundred fifteen billion, one hundred thirty-six million, one hundred twenty-two thousand, two hundred sixteen".