10610616610000 has 200 divisors, whose sum is σ = 28302263101728. Its totient is φ = 3820200000000.

The previous prime is 10610616609997. The next prime is 10610616610001. The reversal of 10610616610000 is 1661601601.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×10610616610000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10610616610001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10632475 + ... + 11587525.

Almost surely, 2^{10610616610000} is an apocalyptic number.

10610616610000 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 10610616610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14151131550864).

10610616610000 is an abundant number, since it is smaller than the sum of its proper divisors (17691646491728).

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

10610616610000 is a wasteful number, since it uses less digits than its factorization.

10610616610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955191 (or 955170 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 10610616610000 in words is "ten trillion, six hundred ten billion, six hundred sixteen million, six hundred ten thousand".