10506000610560 has 576 divisors, whose sum is σ = 41380109568000. Its totient is φ = 2212171776000.

The previous prime is 10506000610517. The next prime is 10506000610561. The reversal of 10506000610560 is 6501600060501.

It is a super-2 number, since 2×10506000610560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506000610561) 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, 174340435 + ... + 174400685.

It is an arithmetic number, because the mean of its divisors is an integer number (71840468000).

Almost surely, 2^{10506000610560} is an apocalyptic number.

10506000610560 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 10506000610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20690054784000).

10506000610560 is an abundant number, since it is smaller than the sum of its proper divisors (30874108957440).

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

10506000610560 is a wasteful number, since it uses less digits than its factorization.

10506000610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60794 (or 60780 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 10506000610560 in words is "ten trillion, five hundred six billion, six hundred ten thousand, five hundred sixty".