1050505010000 has 100 divisors (see below), whose sum is σ = 2561678750400. Its totient is φ = 417178416000.

The previous prime is 1050505009979. The next prime is 1050505010041. The reversal of 1050505010000 is 105050501.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1050505010000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1012121 + ... + 1767879.

It is an arithmetic number, because the mean of its divisors is an integer number (25616787504).

Almost surely, 2^{1050505010000} is an apocalyptic number.

1050505010000 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 1050505010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280839375200).

1050505010000 is an abundant number, since it is smaller than the sum of its proper divisors (1511173740400).

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

1050505010000 is an equidigital number, since it uses as much as digits as its factorization.

1050505010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755926 (or 755905 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 17.

1050505010000 divided by its reverse (105050501) gives a 4-th power (10000 = 10⁴).

The spelling of 1050505010000 in words is "one trillion, fifty billion, five hundred five million, ten thousand".