1055645110080 has 672 divisors, whose sum is σ = 4249521843840. Its totient is φ = 247083540480.

The previous prime is 1055645110057. The next prime is 1055645110081. The reversal of 1055645110080 is 800115465501.

1055645110080 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 64 + 511 + 0 + 0 + 80 = 666.

It is a super-2 number, since 2×1055645110080² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055645110081) 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 95 ways as a sum of consecutive naturals, for example, 24784162 + ... + 24826718.

It is an arithmetic number, because the mean of its divisors is an integer number (6323693220).

Almost surely, 2^{1055645110080} is an apocalyptic number.

1055645110080 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 1055645110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124760921920).

1055645110080 is an abundant number, since it is smaller than the sum of its proper divisors (3193876733760).

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

1055645110080 is a wasteful number, since it uses less digits than its factorization.

1055645110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42629 (or 42607 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 1055645110080 in words is "one trillion, fifty-five billion, six hundred forty-five million, one hundred ten thousand, eighty".