57618787215616 has 729 divisors, whose sum is σ = 139858046327433. Its totient is φ = 23668422328320.

The previous prime is 57618787215593. The next prime is 57618787215643. The reversal of 57618787215616 is 61651278781675.

It is a happy number.

The square root of 57618787215616 is 7590704.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44858917382400 + 12759869833216 = 6697680^2 + 3572096^2 .

It is a Duffinian number.

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 80 ways as a sum of consecutive naturals, for example, 976589613795 + ... + 976589613853.

Almost surely, 2^{57618787215616} is an apocalyptic number.

57618787215616 is the 7590704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57618787215616

57618787215616 is an abundant number, since it is smaller than the sum of its proper divisors (82239259111817).

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

57618787215616 is an equidigital number, since it uses as much as digits as its factorization.

57618787215616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 132 counting only the distinct ones).

The product of its digits is 237081600, while the sum is 70.

The spelling of 57618787215616 in words is "fifty-seven trillion, six hundred eighteen billion, seven hundred eighty-seven million, two hundred fifteen thousand, six hundred sixteen".