1065607342800 has 960 divisors, whose sum is σ = 4593905971200. Its totient is φ = 203913216000.

The previous prime is 1065607342799. The next prime is 1065607342889. The reversal of 1065607342800 is 82437065601.

It is a super-2 number, since 2×1065607342800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 719518060 + ... + 719519540.

It is an arithmetic number, because the mean of its divisors is an integer number (4785318720).

Almost surely, 2^{1065607342800} is an apocalyptic number.

1065607342800 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 1065607342800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296952985600).

1065607342800 is an abundant number, since it is smaller than the sum of its proper divisors (3528298628400).

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

1065607342800 is a wasteful number, since it uses less digits than its factorization.

1065607342800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 1065607342800 in words is "one trillion, sixty-five billion, six hundred seven million, three hundred forty-two thousand, eight hundred".