1065455180928 has 96 divisors (see below), whose sum is σ = 3067601404140. Its totient is φ = 354961391616.

The previous prime is 1065455180921. The next prime is 1065455180939. The reversal of 1065455180928 is 8290815545601.

1065455180928 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 4 + 551 + 80 + 9 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1049378969664 + 16076211264 = 1024392^2 + 126792^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1065455180928² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1065455180921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1910800 + ... + 2404592.

Almost surely, 2^{1065455180928} is an apocalyptic number.

1065455180928 is a gapful number since it is divisible by the number (18) 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 1065455180928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533800702070).

1065455180928 is an abundant number, since it is smaller than the sum of its proper divisors (2002146223212).

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

1065455180928 is a wasteful number, since it uses less digits than its factorization.

1065455180928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495686 (or 495671 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 1065455180928 in words is "one trillion, sixty-five billion, four hundred fifty-five million, one hundred eighty thousand, nine hundred twenty-eight".