10505006049978 has 144 divisors (see below), whose sum is σ = 26338287175200. Its totient is φ = 3015399182400.

The previous prime is 10505006049977. The next prime is 10505006050003. The reversal of 10505006049978 is 87994060050501.

10505006049978 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 500 + 6 + 0 + 49 + 97 + 8 = 666.

It is a super-2 number, since 2×10505006049978² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10505006049977) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 505305208 + ... + 505325996.

It is an arithmetic number, because the mean of its divisors is an integer number (182904772050).

Almost surely, 2^{10505006049978} is an apocalyptic number.

10505006049978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10505006049978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13169143587600).

10505006049978 is an abundant number, since it is smaller than the sum of its proper divisors (15833281125222).

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

10505006049978 is a wasteful number, since it uses less digits than its factorization.

10505006049978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33049 (or 33035 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 10505006049978 in words is "ten trillion, five hundred five billion, six million, forty-nine thousand, nine hundred seventy-eight".