1055417875200 has 1296 divisors, whose sum is σ = 4183668929440. Its totient is φ = 252255928320.

The previous prime is 1055417875189. The next prime is 1055417875201. The reversal of 1055417875200 is 25787145501.

1055417875200 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 41 + 7 + 87 + 520 + 0 = 666.

It is a super-2 number, since 2×1055417875200² (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 not an unprimeable number, because it can be changed into a prime (1055417875201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5468486304 + ... + 5468486496.

Almost surely, 2^{1055417875200} is an apocalyptic number.

1055417875200 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 1055417875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091834464720).

1055417875200 is an abundant number, since it is smaller than the sum of its proper divisors (3128251054240).

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

1055417875200 is a wasteful number, since it uses less digits than its factorization.

1055417875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 1055417875200 in words is "one trillion, fifty-five billion, four hundred seventeen million, eight hundred seventy-five thousand, two hundred".