10506000005610 has 64 divisors (see below), whose sum is σ = 26699625938304. Its totient is φ = 2636599910400.

The previous prime is 10506000005603. The next prime is 10506000005647. The reversal of 10506000005610 is 1650000060501.

It is a super-2 number, since 2×10506000005610² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6003450 + ... + 7553370.

It is an arithmetic number, because the mean of its divisors is an integer number (417181655286).

Almost surely, 2^{10506000005610} is an apocalyptic number.

10506000005610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10506000005610 is an abundant number, since it is smaller than the sum of its proper divisors (16193625932694).

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

10506000005610 is a wasteful number, since it uses less digits than its factorization.

10506000005610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563239.

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 10506000005610 in words is "ten trillion, five hundred six billion, five thousand, six hundred ten".