10165997060352 has 216 divisors, whose sum is σ = 33531494627904. Its totient is φ = 2901698629632.

The previous prime is 10165997060291. The next prime is 10165997060357. The reversal of 10165997060352 is 25306079956101.

10165997060352 is a `hidden beast` number, since 1 + 0 + 16 + 599 + 7 + 0 + 6 + 0 + 35 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (10165997060357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16026543 + ... + 16648785.

Almost surely, 2^{10165997060352} is an apocalyptic number.

10165997060352 is a gapful number since it is divisible by the number (12) 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 10165997060352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765747313952).

10165997060352 is an abundant number, since it is smaller than the sum of its proper divisors (23365497567552).

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

10165997060352 is a wasteful number, since it uses less digits than its factorization.

10165997060352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623285 (or 623268 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 10165997060352 in words is "ten trillion, one hundred sixty-five billion, nine hundred ninety-seven million, sixty thousand, three hundred fifty-two".