57363820800 has 864 divisors, whose sum is σ = 235683665280. Its totient is φ = 12071731200.

The previous prime is 57363820751. The next prime is 57363820807. The reversal of 57363820800 is 802836375.

It is not an unprimeable number, because it can be changed into a prime (57363820807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46674586 + ... + 46675814.

It is an arithmetic number, because the mean of its divisors is an integer number (272782020).

Almost surely, 2^57363820800 is an apocalyptic number.

57363820800 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 57363820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117841832640).

57363820800 is an abundant number, since it is smaller than the sum of its proper divisors (178319844480).

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

57363820800 is a wasteful number, since it uses less digits than its factorization.

57363820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 57363820800 in words is "fifty-seven billion, three hundred sixty-three million, eight hundred twenty thousand, eight hundred".