1055538540 has 576 divisors, whose sum is σ = 4226826240. Its totient is φ = 215550720.

The previous prime is 1055538527. The next prime is 1055538581. The reversal of 1055538540 is 458355501.

It is a happy number.

1055538540 is a `hidden beast` number, since 10 + 55 + 53 + 8 + 540 = 666.

It is a super-2 number, since 2×1055538540² = 2228323218850663200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1055538495 and 1055538504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14866705 + ... + 14866775.

It is an arithmetic number, because the mean of its divisors is an integer number (7338240).

Almost surely, 2^1055538540 is an apocalyptic number.

1055538540 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 1055538540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113413120).

1055538540 is an abundant number, since it is smaller than the sum of its proper divisors (3171287700).

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

1055538540 is a wasteful number, since it uses less digits than its factorization.

1055538540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 1055538540 is about 32489.0526177665. The cubic root of 1055538540 is about 1018.1803196339.

The spelling of 1055538540 in words is "one billion, fifty-five million, five hundred thirty-eight thousand, five hundred forty".