10061140320 has 864 divisors, whose sum is σ = 44107592256. Its totient is φ = 2043740160.

The previous prime is 10061140273. The next prime is 10061140339. The reversal of 10061140320 is 2304116001.

It is a happy number.

10061140320 is a `hidden beast` number, since 10 + 0 + 611 + 40 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10061140293 and 10061140302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89036584 + ... + 89036696.

It is an arithmetic number, because the mean of its divisors is an integer number (51050454).

Almost surely, 2^10061140320 is an apocalyptic number.

10061140320 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 10061140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22053796128).

10061140320 is an abundant number, since it is smaller than the sum of its proper divisors (34046451936).

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

10061140320 is a wasteful number, since it uses less digits than its factorization.

10061140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10061140320 its reverse (2304116001), we get a palindrome (12365256321).

The spelling of 10061140320 in words is "ten billion, sixty-one million, one hundred forty thousand, three hundred twenty".