57384561780000 has 2880 divisors, whose sum is σ = 262258445433600. Its totient is φ = 12096594432000.

The previous prime is 57384561779989. The next prime is 57384561780047. The reversal of 57384561780000 is 8716548375.

It is a happy number.

57384561780000 is a `hidden beast` number, since 5 + 7 + 3 + 8 + 4 + 561 + 78 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 51744419446 + ... + 51744420554.

It is an arithmetic number, because the mean of its divisors is an integer number (91061960220).

Almost surely, 2^{57384561780000} is an apocalyptic number.

57384561780000 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 57384561780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131129222716800).

57384561780000 is an abundant number, since it is smaller than the sum of its proper divisors (204873883653600).

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

57384561780000 is an equidigital number, since it uses as much as digits as its factorization.

57384561780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 57384561780000 in words is "fifty-seven trillion, three hundred eighty-four billion, five hundred sixty-one million, seven hundred eighty thousand".