1065950409600 has 288 divisors, whose sum is σ = 3944430639240. Its totient is φ = 284253235200.

The previous prime is 1065950409599. The next prime is 1065950409653. The reversal of 1065950409600 is 69040595601.

It is a happy number.

1065950409600 is a `hidden beast` number, since 1 + 0 + 6 + 59 + 504 + 0 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1065950409600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 92190 + ... + 1463010.

Almost surely, 2^{1065950409600} is an apocalyptic number.

1065950409600 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 1065950409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972215319620).

1065950409600 is an abundant number, since it is smaller than the sum of its proper divisors (2878480229640).

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

1065950409600 is an equidigital number, since it uses as much as digits as its factorization.

1065950409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370860 (or 1370831 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 1065950409600 in words is "one trillion, sixty-five billion, nine hundred fifty million, four hundred nine thousand, six hundred".