57884878643200 has 336 divisors, whose sum is σ = 164405462180544. Its totient is φ = 19803517747200.

The previous prime is 57884878643167. The next prime is 57884878643201. The reversal of 57884878643200 is 234687848875.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 57884878643200.

It is not an unprimeable number, because it can be changed into a prime (57884878643201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 669447970 + ... + 669534430.

Almost surely, 2^{57884878643200} is an apocalyptic number.

57884878643200 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 57884878643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82202731090272).

57884878643200 is an abundant number, since it is smaller than the sum of its proper divisors (106520583537344).

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

57884878643200 is an equidigital number, since it uses as much as digits as its factorization.

57884878643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86971 (or 86942 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 70.

The spelling of 57884878643200 in words is "fifty-seven trillion, eight hundred eighty-four billion, eight hundred seventy-eight million, six hundred forty-three thousand, two hundred".