1055218560 has 256 divisors, whose sum is σ = 3886444800. Its totient is φ = 240680960.

The previous prime is 1055218559. The next prime is 1055218583. The reversal of 1055218560 is 658125501.

It is a super-2 number, since 2×1055218560² = 2226972418736947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357571 + ... + 360509.

It is an arithmetic number, because the mean of its divisors is an integer number (15181425).

Almost surely, 2^1055218560 is an apocalyptic number.

1055218560 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 1055218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943222400).

1055218560 is an abundant number, since it is smaller than the sum of its proper divisors (2831226240).

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

1055218560 is a wasteful number, since it uses less digits than its factorization.

1055218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The square root of 1055218560 is about 32484.1278165199. The cubic root of 1055218560 is about 1018.0774242072.

The spelling of 1055218560 in words is "one billion, fifty-five million, two hundred eighteen thousand, five hundred sixty".