10505889000000 has 784 divisors, whose sum is σ = 39508400536000. Its totient is φ = 2736115200000.

The previous prime is 10505888999993. The next prime is 10505889000017. The reversal of 10505889000000 is 98850501.

It is a super-2 number, since 2×10505889000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1160995476 + ... + 1161004524.

Almost surely, 2^{10505889000000} is an apocalyptic number.

10505889000000 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 10505889000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19754200268000).

10505889000000 is an abundant number, since it is smaller than the sum of its proper divisors (29002511536000).

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

10505889000000 is an frugal number, since it uses more digits than its factorization.

10505889000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9143 (or 9102 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 10505889000000 in words is "ten trillion, five hundred five billion, eight hundred eighty-nine million", and thus it is an aban number.