10005731501016 has 128 divisors (see below), whose sum is σ = 26258193561600. Its totient is φ = 3171147978240.

The previous prime is 10005731500979. The next prime is 10005731501023. The reversal of 10005731501016 is 61010513750001.

It is a super-2 number, since 2×10005731501016² (a number of 27 digits) contains 22 as substring.

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, 228476850 + ... + 228520638.

It is an arithmetic number, because the mean of its divisors is an integer number (205142137200).

Almost surely, 2^{10005731501016} 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 10005731501016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13129096780800).

10005731501016 is an abundant number, since it is smaller than the sum of its proper divisors (16252462060584).

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

10005731501016 is a wasteful number, since it uses less digits than its factorization.

10005731501016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46289 (or 46285 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The spelling of 10005731501016 in words is "ten trillion, five billion, seven hundred thirty-one million, five hundred one thousand, sixteen".