1055785075752 has 128 divisors (see below), whose sum is σ = 3062224880640. Its totient is φ = 299788385280.

The previous prime is 1055785075699. The next prime is 1055785075753. The reversal of 1055785075752 is 2575705875501.

It is a super-2 number, since 2×1055785075752² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055785075692 and 1055785075701.

It is not an unprimeable number, because it can be changed into a prime (1055785075753) 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 31 ways as a sum of consecutive naturals, for example, 500613 + ... + 1536939.

It is an arithmetic number, because the mean of its divisors is an integer number (23923631880).

Almost surely, 2^{1055785075752} is an apocalyptic number.

1055785075752 is a gapful number since it is divisible by the number (12) 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 1055785075752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531112440320).

1055785075752 is an abundant number, since it is smaller than the sum of its proper divisors (2006439804888).

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

1055785075752 is a wasteful number, since it uses less digits than its factorization.

1055785075752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036591 (or 1036587 counting only the distinct ones).

The product of its (nonzero) digits is 17150000, while the sum is 57.

The spelling of 1055785075752 in words is "one trillion, fifty-five billion, seven hundred eighty-five million, seventy-five thousand, seven hundred fifty-two".