10163405871360 has 1008 divisors, whose sum is σ = 41812550962560. Its totient is φ = 2317601341440.

The previous prime is 10163405871337. The next prime is 10163405871373. The reversal of 10163405871360 is 6317850436101.

10163405871360 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 3 + 4 + 0 + 587 + 1 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 111 ways as a sum of consecutive naturals, for example, 3207131856 + ... + 3207135024.

It is an arithmetic number, because the mean of its divisors is an integer number (41480705320).

Almost surely, 2^{10163405871360} is an apocalyptic number.

10163405871360 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 10163405871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20906275481280).

10163405871360 is an abundant number, since it is smaller than the sum of its proper divisors (31649145091200).

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

10163405871360 is an frugal number, since it uses more digits than its factorization.

10163405871360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3677 counting only the distinct ones).

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

The spelling of 10163405871360 in words is "ten trillion, one hundred sixty-three billion, four hundred five million, eight hundred seventy-one thousand, three hundred sixty".