10505561791504 has 80 divisors (see below), whose sum is σ = 23074869294400. Its totient is φ = 4593343292928.

The previous prime is 10505561791469. The next prime is 10505561791513. The reversal of 10505561791504 is 40519716550501.

It is a super-2 number, since 2×10505561791504² (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 15 ways as a sum of consecutive naturals, for example, 167070982 + ... + 167133850.

It is an arithmetic number, because the mean of its divisors is an integer number (288435866180).

Almost surely, 2^{10505561791504} is an apocalyptic number.

It is an amenable number.

10505561791504 is an abundant number, since it is smaller than the sum of its proper divisors (12569307502896).

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

10505561791504 is a wasteful number, since it uses less digits than its factorization.

10505561791504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105192 (or 105186 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 49.

The spelling of 10505561791504 in words is "ten trillion, five hundred five billion, five hundred sixty-one million, seven hundred ninety-one thousand, five hundred four".