10505561115500 has 48 divisors (see below), whose sum is σ = 25029976896288. Its totient is φ = 3820204040000.

The previous prime is 10505561115493. The next prime is 10505561115527. The reversal of 10505561115500 is 551116550501.

It is a super-2 number, since 2×10505561115500² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 955045511 + ... + 955056510.

It is an arithmetic number, because the mean of its divisors is an integer number (521457852006).

Almost surely, 2^{10505561115500} is an apocalyptic number.

10505561115500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505561115500 is an abundant number, since it is smaller than the sum of its proper divisors (14524415780788).

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

10505561115500 is a wasteful number, since it uses less digits than its factorization.

10505561115500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910102051 (or 1910102039 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 35.

The spelling of 10505561115500 in words is "ten trillion, five hundred five billion, five hundred sixty-one million, one hundred fifteen thousand, five hundred".