10625215617016 has 256 divisors, whose sum is σ = 27936551946240. Its totient is φ = 3651871703040.

The previous prime is 10625215616969. The next prime is 10625215617017. The reversal of 10625215617016 is 61071651252601.

It is a happy number.

It is a super-2 number, since 2×10625215617016² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10625215617017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212339136 + ... + 212389168.

It is an arithmetic number, because the mean of its divisors is an integer number (109127156040).

Almost surely, 2^{10625215617016} 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 10625215617016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13968275973120).

10625215617016 is an abundant number, since it is smaller than the sum of its proper divisors (17311336329224).

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

10625215617016 is a wasteful number, since it uses less digits than its factorization.

10625215617016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51246 (or 51242 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

Adding to 10625215617016 its reverse (61071651252601), we get a palindrome (71696866869617).

The spelling of 10625215617016 in words is "ten trillion, six hundred twenty-five billion, two hundred fifteen million, six hundred seventeen thousand, sixteen".