57246812812200 has 768 divisors, whose sum is σ = 205127471001600. Its totient is φ = 13070632960000.

The previous prime is 57246812812181. The next prime is 57246812812201. The reversal of 57246812812200 is 221821864275.

It is a self number, because there is not a number n which added to its sum of digits gives 57246812812200.

It is not an unprimeable number, because it can be changed into a prime (57246812812201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9495238786 + ... + 9495244814.

It is an arithmetic number, because the mean of its divisors is an integer number (267093061200).

Almost surely, 2^{57246812812200} is an apocalyptic number.

57246812812200 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 57246812812200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102563735500800).

57246812812200 is an abundant number, since it is smaller than the sum of its proper divisors (147880658189400).

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

57246812812200 is a wasteful number, since it uses less digits than its factorization.

57246812812200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7034 (or 7025 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 57246812812200 in words is "fifty-seven trillion, two hundred forty-six billion, eight hundred twelve million, eight hundred twelve thousand, two hundred".