10561335620040 has 512 divisors, whose sum is σ = 36751910976000. Its totient is φ = 2695761395712.

The previous prime is 10561335620039. The next prime is 10561335620051. The reversal of 10561335620040 is 4002653316501.

10561335620040 is a `hidden beast` number, since 1 + 0 + 5 + 61 + 3 + 356 + 200 + 40 = 666.

It is a super-2 number, since 2×10561335620040² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10561335619977 and 10561335620004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 467035774 + ... + 467058386.

It is an arithmetic number, because the mean of its divisors is an integer number (71781076125).

Almost surely, 2^{10561335620040} is an apocalyptic number.

10561335620040 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 10561335620040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18375955488000).

10561335620040 is an abundant number, since it is smaller than the sum of its proper divisors (26190575355960).

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

10561335620040 is a wasteful number, since it uses less digits than its factorization.

10561335620040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22878 (or 22868 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 10561335620040 its reverse (4002653316501), we get a palindrome (14563988936541).

The spelling of 10561335620040 in words is "ten trillion, five hundred sixty-one billion, three hundred thirty-five million, six hundred twenty thousand, forty".