10716165152 has 384 divisors, whose sum is σ = 29785190400. Its totient is φ = 3742126080.

The previous prime is 10716165049. The next prime is 10716165181. The reversal of 10716165152 is 25156161701.

It is a super-2 number, since 2×10716165152² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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, 47207663 + ... + 47207889.

It is an arithmetic number, because the mean of its divisors is an integer number (77565600).

Almost surely, 2^10716165152 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 10716165152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14892595200).

10716165152 is an abundant number, since it is smaller than the sum of its proper divisors (19069025248).

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

10716165152 is a wasteful number, since it uses less digits than its factorization.

10716165152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 35.

The spelling of 10716165152 in words is "ten billion, seven hundred sixteen million, one hundred sixty-five thousand, one hundred fifty-two".