10000605506010 has 128 divisors (see below), whose sum is σ = 28108202563584. Its totient is φ = 2229506899200.

The previous prime is 10000605505993. The next prime is 10000605506011. The reversal of 10000605506010 is 1060550600001.

It is a super-2 number, since 2×10000605506010² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10000605506011) 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, 5540097 + ... + 7119963.

It is an arithmetic number, because the mean of its divisors is an integer number (219595332528).

Almost surely, 2^{10000605506010} is an apocalyptic number.

10000605506010 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 10000605506010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054101281792).

10000605506010 is an abundant number, since it is smaller than the sum of its proper divisors (18107597057574).

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

10000605506010 is a wasteful number, since it uses less digits than its factorization.

10000605506010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580628.

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

The spelling of 10000605506010 in words is "ten trillion, six hundred five million, five hundred six thousand, ten".