1055005920 has 144 divisors (see below), whose sum is σ = 3619455840. Its totient is φ = 279831552.

The previous prime is 1055005879. The next prime is 1055005933. The reversal of 1055005920 is 295005501.

1055005920 is a `hidden beast` number, since 105 + 500 + 59 + 2 + 0 = 666.

1055005920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1055005920² = 2226074982470092800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281821 + ... + 285539.

It is an arithmetic number, because the mean of its divisors is an integer number (25135110).

Almost surely, 2^1055005920 is an apocalyptic number.

1055005920 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 1055005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809727920).

1055005920 is an abundant number, since it is smaller than the sum of its proper divisors (2564449920).

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

1055005920 is a wasteful number, since it uses less digits than its factorization.

1055005920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 1055005920 is about 32480.8546685582. The cubic root of 1055005920 is about 1018.0090344174.

The spelling of 1055005920 in words is "one billion, fifty-five million, five thousand, nine hundred twenty".