10538110588320 has 768 divisors, whose sum is σ = 43714060508160. Its totient is φ = 2349939548160.

The previous prime is 10538110588307. The next prime is 10538110588331. The reversal of 10538110588320 is 2388501183501.

10538110588320 is a `hidden beast` number, since 1 + 0 + 5 + 38 + 1 + 1 + 0 + 588 + 32 + 0 = 666.

It is a super-2 number, since 2×10538110588320² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100374574 + ... + 100479506.

It is an arithmetic number, because the mean of its divisors is an integer number (56919349620).

Almost surely, 2^{10538110588320} is an apocalyptic number.

10538110588320 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 10538110588320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21857030254080).

10538110588320 is an abundant number, since it is smaller than the sum of its proper divisors (33175949919840).

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

10538110588320 is an equidigital number, since it uses as much as digits as its factorization.

10538110588320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105017 (or 104991 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 10538110588320 in words is "ten trillion, five hundred thirty-eight billion, one hundred ten million, five hundred eighty-eight thousand, three hundred twenty".