10241125601616 has 320 divisors, whose sum is σ = 36190323671040. Its totient is φ = 2700146327040.

The previous prime is 10241125601599. The next prime is 10241125601653. The reversal of 10241125601616 is 61610652114201.

10241125601616 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 11 + 25 + 6 + 0 + 1 + 616 = 666.

It is a super-2 number, since 2×10241125601616² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137200881 + ... + 137275503.

It is an arithmetic number, because the mean of its divisors is an integer number (113094761472).

Almost surely, 2^{10241125601616} is an apocalyptic number.

10241125601616 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 10241125601616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18095161835520).

10241125601616 is an abundant number, since it is smaller than the sum of its proper divisors (25949198069424).

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

10241125601616 is a wasteful number, since it uses less digits than its factorization.

10241125601616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78151 (or 78139 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 10241125601616 its reverse (61610652114201), we get a palindrome (71851777715817).

The spelling of 10241125601616 in words is "ten trillion, two hundred forty-one billion, one hundred twenty-five million, six hundred one thousand, six hundred sixteen".