10000610506000 has 80 divisors (see below), whose sum is σ = 24188536642608. Its totient is φ = 3999076224000.

The previous prime is 10000610505979. The next prime is 10000610506001. The reversal of 10000610506000 is 60501600001.

It can be written as a sum of positive squares in 8 ways, for example, as 5617734270976 + 4382876235024 = 2370176^2 + 2093532^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10000610506001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6137730 + ... + 7594270.

Almost surely, 2^{10000610506000} is an apocalyptic number.

10000610506000 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 10000610506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12094268321304).

10000610506000 is an abundant number, since it is smaller than the sum of its proper divisors (14187926136608).

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

10000610506000 is a wasteful number, since it uses less digits than its factorization.

10000610506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459997 (or 1459981 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The spelling of 10000610506000 in words is "ten trillion, six hundred ten million, five hundred six thousand".