10505006050050 has 48 divisors (see below), whose sum is σ = 28947127786080. Its totient is φ = 2801334946320.

The previous prime is 10505006050039. The next prime is 10505006050087. The reversal of 10505006050050 is 5005060050501.

10505006050050 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 0 + 0 + 605 + 0 + 0 + 50 = 666.

It is a super-2 number, since 2×10505006050050² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10505006049996 and 10505006050023.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3890741632 + ... + 3890744331.

It is an arithmetic number, because the mean of its divisors is an integer number (603065162210).

Almost surely, 2^{10505006050050} is an apocalyptic number.

10505006050050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10505006050050 is an abundant number, since it is smaller than the sum of its proper divisors (18442121736030).

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

10505006050050 is a wasteful number, since it uses less digits than its factorization.

10505006050050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7781485984 (or 7781485973 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 10505006050050 in words is "ten trillion, five hundred five billion, six million, fifty thousand, fifty".