57969818304216 has 256 divisors, whose sum is σ = 186342168176640. Its totient is φ = 14606860308480.

The previous prime is 57969818304127. The next prime is 57969818304241. The reversal of 57969818304216 is 61240381896975.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42171436 + ... + 43524356.

It is an arithmetic number, because the mean of its divisors is an integer number (727899094440).

It is a 1-persistent number, because it is pandigital, but 2⋅57969818304216 = 115939636608432 is not.

Almost surely, 2^{57969818304216} is an apocalyptic number.

57969818304216 is a gapful number since it is divisible by the number (56) 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 57969818304216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93171084088320).

57969818304216 is an abundant number, since it is smaller than the sum of its proper divisors (128372349872424).

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

57969818304216 is a wasteful number, since it uses less digits than its factorization.

57969818304216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353826 (or 1353822 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 69.

The spelling of 57969818304216 in words is "fifty-seven trillion, nine hundred sixty-nine billion, eight hundred eighteen million, three hundred four thousand, two hundred sixteen".