10140061165056 has 160 divisors (see below), whose sum is σ = 30181122972000. Its totient is φ = 3361345413120.

The previous prime is 10140061165051. The next prime is 10140061165061. The reversal of 10140061165056 is 65056116004101.

10140061165056 is a `hidden beast` number, since 1 + 0 + 140 + 0 + 6 + 1 + 1 + 6 + 505 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10140061165051) and next prime (10140061165061).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10140061165056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140061165051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475870 + ... + 4528418.

It is an arithmetic number, because the mean of its divisors is an integer number (188632018575).

Almost surely, 2^{10140061165056} is an apocalyptic number.

10140061165056 is a gapful number since it is divisible by the number (16) 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 10140061165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15090561486000).

10140061165056 is an abundant number, since it is smaller than the sum of its proper divisors (20041061806944).

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

10140061165056 is an equidigital number, since it uses as much as digits as its factorization.

10140061165056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052757 (or 4052735 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 10140061165056 its reverse (65056116004101), we get a palindrome (75196177169157).

The spelling of 10140061165056 in words is "ten trillion, one hundred forty billion, sixty-one million, one hundred sixty-five thousand, fifty-six".