10516353744704 has 224 divisors, whose sum is σ = 21702411150336. Its totient is φ = 5053573324800.

The previous prime is 10516353744703. The next prime is 10516353744709. The reversal of 10516353744704 is 40744735361501.

It is a super-2 number, since 2×10516353744704² (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 (10516353744703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22713506777 + ... + 22713507239.

It is an arithmetic number, because the mean of its divisors is an integer number (96885764064).

Almost surely, 2^{10516353744704} 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 10516353744704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10851205575168).

10516353744704 is an abundant number, since it is smaller than the sum of its proper divisors (11186057405632).

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

10516353744704 is a wasteful number, since it uses less digits than its factorization.

10516353744704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 50.

The spelling of 10516353744704 in words is "ten trillion, five hundred sixteen billion, three hundred fifty-three million, seven hundred forty-four thousand, seven hundred four".