10013027504160 has 192 divisors, whose sum is σ = 32923051499520. Its totient is φ = 2553219947520.

The previous prime is 10013027504159. The next prime is 10013027504231. The reversal of 10013027504160 is 6140572031001.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 34288365 + ... + 34579155.

It is an arithmetic number, because the mean of its divisors is an integer number (171474226560).

Almost surely, 2^{10013027504160} is an apocalyptic number.

10013027504160 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 10013027504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16461525749760).

10013027504160 is an abundant number, since it is smaller than the sum of its proper divisors (22910023995360).

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

10013027504160 is a wasteful number, since it uses less digits than its factorization.

10013027504160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293951 (or 293943 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 10013027504160 its reverse (6140572031001), we get a palindrome (16153599535161).

The spelling of 10013027504160 in words is "ten trillion, thirteen billion, twenty-seven million, five hundred four thousand, one hundred sixty".