1055035800 has 768 divisors, whose sum is σ = 4749696000. Its totient is φ = 209018880.

The previous prime is 1055035777. The next prime is 1055035811. The reversal of 1055035800 is 85305501.

1055035800 is a `hidden beast` number, since 1 + 0 + 550 + 35 + 80 + 0 = 666.

1055035800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1055035800² = 2226201078563280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9336544 + ... + 9336656.

It is an arithmetic number, because the mean of its divisors is an integer number (6184500).

Almost surely, 2^1055035800 is an apocalyptic number.

1055035800 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 1055035800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374848000).

1055035800 is an abundant number, since it is smaller than the sum of its proper divisors (3694660200).

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

1055035800 is a wasteful number, since it uses less digits than its factorization.

1055035800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1055035800 is about 32481.3146285676. The cubic root of 1055035800 is about 1018.0186450500.

The spelling of 1055035800 in words is "one billion, fifty-five million, thirty-five thousand, eight hundred".