57483820800 has 1620 divisors, whose sum is σ = 258716732736. Its totient is φ = 12541132800.

The previous prime is 57483820789. The next prime is 57483820817. The reversal of 57483820800 is 802838475.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 787449564 + ... + 787449636.

Almost surely, 2^57483820800 is an apocalyptic number.

57483820800 is a gapful number since it is divisible by the number (50) 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 57483820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129358366368).

57483820800 is an abundant number, since it is smaller than the sum of its proper divisors (201232911936).

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

57483820800 is a wasteful number, since it uses less digits than its factorization.

57483820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 57483820800 in words is "fifty-seven billion, four hundred eighty-three million, eight hundred twenty thousand, eight hundred".