10005777731516 has 24 divisors (see below), whose sum is σ = 20016851137920. Its totient is φ = 4287055668912.

The previous prime is 10005777731503. The next prime is 10005777731539. The reversal of 10005777731516 is 61513777750001.

It is a super-3 number, since 3×10005777731516³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47175110 + ... + 47386733.

It is an arithmetic number, because the mean of its divisors is an integer number (834035464080).

Almost surely, 2^{10005777731516} is an apocalyptic number.

It is an amenable number.

10005777731516 is an abundant number, since it is smaller than the sum of its proper divisors (10011073406404).

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

10005777731516 is a wasteful number, since it uses less digits than its factorization.

10005777731516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94565633 (or 94565631 counting only the distinct ones).

The product of its (nonzero) digits is 1080450, while the sum is 50.

The spelling of 10005777731516 in words is "ten trillion, five billion, seven hundred seventy-seven million, seven hundred thirty-one thousand, five hundred sixteen".