10642561153260 has 192 divisors, whose sum is σ = 31503311078400. Its totient is φ = 2677033497600.

The previous prime is 10642561153223. The next prime is 10642561153261. The reversal of 10642561153260 is 6235116524601.

It is a super-2 number, since 2×10642561153260² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10642561153261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270501190 + ... + 270540530.

It is an arithmetic number, because the mean of its divisors is an integer number (164079745200).

Almost surely, 2^{10642561153260} is an apocalyptic number.

10642561153260 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 10642561153260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15751655539200).

10642561153260 is an abundant number, since it is smaller than the sum of its proper divisors (20860749925140).

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

10642561153260 is a wasteful number, since it uses less digits than its factorization.

10642561153260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40392 (or 40390 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

Adding to 10642561153260 its reverse (6235116524601), we get a palindrome (16877677677861).

The spelling of 10642561153260 in words is "ten trillion, six hundred forty-two billion, five hundred sixty-one million, one hundred fifty-three thousand, two hundred sixty".