57483236332900 has 135 divisors (see below), whose sum is σ = 145529139879851. Its totient is φ = 19707264433920.

The previous prime is 57483236332889. The next prime is 57483236332909. The reversal of 57483236332900 is 923363238475.

The square root of 57483236332900 is 7581770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2714829610276 + 54768406722624 = 1647674^2 + 7400568^2 .

It is not an unprimeable number, because it can be changed into a prime (57483236332909) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3715059564 + ... + 3715075036.

Almost surely, 2^{57483236332900} is an apocalyptic number.

57483236332900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57483236332900 is the 7581770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57483236332900

57483236332900 is an abundant number, since it is smaller than the sum of its proper divisors (88045903546951).

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

57483236332900 is an frugal number, since it uses more digits than its factorization.

57483236332900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30988 (or 15487 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 55.

The spelling of 57483236332900 in words is "fifty-seven trillion, four hundred eighty-three billion, two hundred thirty-six million, three hundred thirty-two thousand, nine hundred".