10405505050000 has 120 divisors (see below), whose sum is σ = 25612329159144. Its totient is φ = 4093968000000.

The previous prime is 10405505049959. The next prime is 10405505050019. The reversal of 10405505050000 is 5050550401.

10405505050000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 7428306642064 + 2977198407936 = 2725492^2 + 1725456^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1344180 + ... + 4755820.

Almost surely, 2^{10405505050000} is an apocalyptic number.

10405505050000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10405505050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806164579572).

10405505050000 is an abundant number, since it is smaller than the sum of its proper divisors (15206824109144).

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

10405505050000 is an frugal number, since it uses more digits than its factorization.

10405505050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411735 (or 3411709 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 25.

The spelling of 10405505050000 in words is "ten trillion, four hundred five billion, five hundred five million, fifty thousand".