10363185272160 has 576 divisors, whose sum is σ = 40818121344000. Its totient is φ = 2345218707456.

The previous prime is 10363185272129. The next prime is 10363185272183. The reversal of 10363185272160 is 6127258136301.

It is a happy number.

10363185272160 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 318 + 5 + 272 + 1 + 60 = 666.

It is a super-3 number, since 3×10363185272160³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1919461141 + ... + 1919466539.

It is an arithmetic number, because the mean of its divisors is an integer number (70864794000).

Almost surely, 2^{10363185272160} is an apocalyptic number.

10363185272160 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 10363185272160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20409060672000).

10363185272160 is an abundant number, since it is smaller than the sum of its proper divisors (30454936071840).

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

10363185272160 is a wasteful number, since it uses less digits than its factorization.

10363185272160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7283 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10363185272160 in words is "ten trillion, three hundred sixty-three billion, one hundred eighty-five million, two hundred seventy-two thousand, one hundred sixty".