57127280349216 has 1536 divisors, whose sum is σ = 205253641764864. Its totient is φ = 13474086912000.

The previous prime is 57127280349199. The next prime is 57127280349259. The reversal of 57127280349216 is 61294308272175.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 66972192246 + ... + 66972193098.

It is an arithmetic number, because the mean of its divisors is an integer number (133628673024).

It is a 1-persistent number, because it is pandigital, but 2⋅57127280349216 = 114254560698432 is not.

Almost surely, 2^{57127280349216} is an apocalyptic number.

57127280349216 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 57127280349216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102626820882432).

57127280349216 is an abundant number, since it is smaller than the sum of its proper divisors (148126361415648).

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

57127280349216 is a wasteful number, since it uses less digits than its factorization.

57127280349216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 57127280349216 in words is "fifty-seven trillion, one hundred twenty-seven billion, two hundred eighty million, three hundred forty-nine thousand, two hundred sixteen".