1055958066600 has 192 divisors, whose sum is σ = 3314142881280. Its totient is φ = 278110560000.

The previous prime is 1055958066599. The next prime is 1055958066607. The reversal of 1055958066600 is 66608595501.

It is a happy number.

It is a super-2 number, since 2×1055958066600² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1055958066607) 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 47 ways as a sum of consecutive naturals, for example, 16552765 + ... + 16616435.

It is an arithmetic number, because the mean of its divisors is an integer number (17261160840).

Almost surely, 2^{1055958066600} is an apocalyptic number.

1055958066600 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 1055958066600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657071440640).

1055958066600 is an abundant number, since it is smaller than the sum of its proper divisors (2258184814680).

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

1055958066600 is a wasteful number, since it uses less digits than its factorization.

1055958066600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64032 (or 64023 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 51.

The spelling of 1055958066600 in words is "one trillion, fifty-five billion, nine hundred fifty-eight million, sixty-six thousand, six hundred".