10361960351160 has 768 divisors, whose sum is σ = 37102170631680. Its totient is φ = 2304127795200.

The previous prime is 10361960351123. The next prime is 10361960351173. The reversal of 10361960351160 is 6115306916301.

It is a happy number.

It is a super-3 number, since 3×10361960351160³ (a number of 40 digits) contains 333 as substring.

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 191 ways as a sum of consecutive naturals, for example, 6803650159 + ... + 6803651681.

It is an arithmetic number, because the mean of its divisors is an integer number (48310118010).

Almost surely, 2^{10361960351160} is an apocalyptic number.

10361960351160 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 10361960351160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18551085315840).

10361960351160 is an abundant number, since it is smaller than the sum of its proper divisors (26740210280520).

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

10361960351160 is a wasteful number, since it uses less digits than its factorization.

10361960351160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 10361960351160 in words is "ten trillion, three hundred sixty-one billion, nine hundred sixty million, three hundred fifty-one thousand, one hundred sixty".