10509368816160 has 192 divisors, whose sum is σ = 37017078537600. Its totient is φ = 2784647863296.

The previous prime is 10509368816119. The next prime is 10509368816173. The reversal of 10509368816160 is 6161886390501.

10509368816160 is a `hidden beast` number, since 1 + 0 + 509 + 3 + 68 + 8 + 16 + 1 + 60 = 666.

It is a super-2 number, since 2×10509368816160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10509368816097 and 10509368816106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7069290 + ... + 8425769.

It is an arithmetic number, because the mean of its divisors is an integer number (192797284050).

Almost surely, 2^{10509368816160} is an apocalyptic number.

10509368816160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10509368816160 is an abundant number, since it is smaller than the sum of its proper divisors (26507709721440).

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

10509368816160 is a wasteful number, since it uses less digits than its factorization.

10509368816160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15495240 (or 15495226 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 10509368816160 in words is "ten trillion, five hundred nine billion, three hundred sixty-eight million, eight hundred sixteen thousand, one hundred sixty".