10500610550610 has 128 divisors (see below), whose sum is σ = 27034079235840. Its totient is φ = 2602184832000.

The previous prime is 10500610550603. The next prime is 10500610550621. The reversal of 10500610550610 is 1605501600501.

10500610550610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10500610550610² (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 Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154067140 + ... + 154135280.

It is an arithmetic number, because the mean of its divisors is an integer number (211203744030).

Almost surely, 2^{10500610550610} is an apocalyptic number.

10500610550610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10500610550610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517039617920).

10500610550610 is an abundant number, since it is smaller than the sum of its proper divisors (16533468685230).

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

10500610550610 is a wasteful number, since it uses less digits than its factorization.

10500610550610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73324.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 10500610550610 in words is "ten trillion, five hundred billion, six hundred ten million, five hundred fifty thousand, six hundred ten".