57073336320 has 1152 divisors, whose sum is σ = 253670538240. Its totient is φ = 10569646080.

The previous prime is 57073336301. The next prime is 57073336321. The reversal of 57073336320 is 2363337075.

It is a super-2 number, since 2×57073336320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57073336321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1968046066 + ... + 1968046094.

It is an arithmetic number, because the mean of its divisors is an integer number (220200120).

Almost surely, 2^57073336320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57073336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126835269120).

57073336320 is an abundant number, since it is smaller than the sum of its proper divisors (196597201920).

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

57073336320 is a wasteful number, since it uses less digits than its factorization.

57073336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 39.

It can be divided in two parts, 57073 and 336320, that added together give a palindrome (393393).

The spelling of 57073336320 in words is "fifty-seven billion, seventy-three million, three hundred thirty-six thousand, three hundred twenty".