1055980800 has 648 divisors, whose sum is σ = 4520641216. Its totient is φ = 238878720.

The previous prime is 1055980781. The next prime is 1055980811. The reversal of 1055980800 is 80895501.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-3 number, since 3×1055980800³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10886352 + ... + 10886448.

Almost surely, 2^1055980800 is an apocalyptic number.

1055980800 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 1055980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260320608).

1055980800 is an abundant number, since it is smaller than the sum of its proper divisors (3464660416).

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

1055980800 is an frugal number, since it uses more digits than its factorization.

1055980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 1055980800 is about 32495.8581976227. The cubic root of 1055980800 is about 1018.3225022056.

The spelling of 1055980800 in words is "one billion, fifty-five million, nine hundred eighty thousand, eight hundred".