1061105248000 has 576 divisors, whose sum is σ = 3112520785920. Its totient is φ = 352954368000.

The previous prime is 1061105247953. The next prime is 1061105248001. The reversal of 1061105248000 is 8425011601.

It is a super-3 number, since 3×1061105248000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1061105248000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061105248001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1079455509 + ... + 1079456491.

It is an arithmetic number, because the mean of its divisors is an integer number (5403681920).

Almost surely, 2^{1061105248000} is an apocalyptic number.

1061105248000 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 1061105248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556260392960).

1061105248000 is an abundant number, since it is smaller than the sum of its proper divisors (2051415537920).

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

1061105248000 is an frugal number, since it uses more digits than its factorization.

1061105248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 1061105248000 in words is "one trillion, sixty-one billion, one hundred five million, two hundred forty-eight thousand".