10165486124160 has 512 divisors, whose sum is σ = 36360625766400. Its totient is φ = 2683971072000.

The previous prime is 10165486124147. The next prime is 10165486124239. The reversal of 10165486124160 is 6142168456101.

10165486124160 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 5 + 486 + 1 + 2 + 4 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 811479817 + ... + 811492343.

It is an arithmetic number, because the mean of its divisors is an integer number (71016847200).

Almost surely, 2^{10165486124160} is an apocalyptic number.

10165486124160 is a gapful number since it is divisible by the number (10) 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 10165486124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18180312883200).

10165486124160 is an abundant number, since it is smaller than the sum of its proper divisors (26195139642240).

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

10165486124160 is a wasteful number, since it uses less digits than its factorization.

10165486124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13017 (or 12999 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10165486124160 in words is "ten trillion, one hundred sixty-five billion, four hundred eighty-six million, one hundred twenty-four thousand, one hundred sixty".