10005523350010 has 16 divisors (see below), whose sum is σ = 18010779194016. Its totient is φ = 4002023303568.

The previous prime is 10005523349959. The next prime is 10005523350023. The reversal of 10005523350010 is 1005332550001.

10005523350010 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 2×10005523350010² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23028564 + ... + 23459023.

It is an arithmetic number, because the mean of its divisors is an integer number (1125673699626).

Almost surely, 2^{10005523350010} is an apocalyptic number.

10005523350010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10005523350010 is a deficient number, since it is larger than the sum of its proper divisors (8005255844006).

10005523350010 is a wasteful number, since it uses less digits than its factorization.

10005523350010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46509117.

The product of its (nonzero) digits is 2250, while the sum is 25.

The spelling of 10005523350010 in words is "ten trillion, five billion, five hundred twenty-three million, three hundred fifty thousand, ten".