10505419200000 has 960 divisors, whose sum is σ = 40917381120000. Its totient is φ = 2653793280000.

The previous prime is 10505419199969. The next prime is 10505419200053. The reversal of 10505419200000 is 291450501.

10505419200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10505419200000² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 820793601 + ... + 820806399.

It is an arithmetic number, because the mean of its divisors is an integer number (42622272000).

Almost surely, 2^{10505419200000} is an apocalyptic number.

10505419200000 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 10505419200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20458690560000).

10505419200000 is an abundant number, since it is smaller than the sum of its proper divisors (30411961920000).

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

10505419200000 is an frugal number, since it uses more digits than its factorization.

10505419200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12870 (or 12828 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10505419200000 in words is "ten trillion, five hundred five billion, four hundred nineteen million, two hundred thousand".