57063766561600 has 168 divisors, whose sum is σ = 143410809870720. Its totient is φ = 22338178437120.

The previous prime is 57063766561531. The next prime is 57063766561603. The reversal of 57063766561600 is 616566736075.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57063766561603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1589634852 + ... + 1589670748.

It is an arithmetic number, because the mean of its divisors is an integer number (853635773040).

Almost surely, 2^{57063766561600} is an apocalyptic number.

57063766561600 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 57063766561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71705404935360).

57063766561600 is an abundant number, since it is smaller than the sum of its proper divisors (86347043309120).

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

57063766561600 is a wasteful number, since it uses less digits than its factorization.

57063766561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57105 (or 57090 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 58.

The spelling of 57063766561600 in words is "fifty-seven trillion, sixty-three billion, seven hundred sixty-six million, five hundred sixty-one thousand, six hundred".