10225616612406 has 64 divisors (see below), whose sum is σ = 22158048890880. Its totient is φ = 3145871807520.

The previous prime is 10225616612363. The next prime is 10225616612489. The reversal of 10225616612406 is 60421661652201.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 93577141 + ... + 93686351.

It is an arithmetic number, because the mean of its divisors is an integer number (346219513920).

Almost surely, 2^{10225616612406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10225616612406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11079024445440).

10225616612406 is an abundant number, since it is smaller than the sum of its proper divisors (11932432278474).

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

10225616612406 is a wasteful number, since it uses less digits than its factorization.

10225616612406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116358 (or 116332 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 10225616612406 in words is "ten trillion, two hundred twenty-five billion, six hundred sixteen million, six hundred twelve thousand, four hundred six".