57605206701664 has 96 divisors (see below), whose sum is σ = 116918776598400. Its totient is φ = 27920779023360.

The previous prime is 57605206701661. The next prime is 57605206701671. The reversal of 57605206701664 is 46610760250675.

It is a happy number.

It is a super-3 number, since 3×57605206701664³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57605206701661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295576219 + ... + 295771045.

It is an arithmetic number, because the mean of its divisors is an integer number (1217903922900).

Almost surely, 2^{57605206701664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57605206701664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58459388299200).

57605206701664 is an abundant number, since it is smaller than the sum of its proper divisors (59313569896736).

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

57605206701664 is a wasteful number, since it uses less digits than its factorization.

57605206701664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196316 (or 196308 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 55.

The spelling of 57605206701664 in words is "fifty-seven trillion, six hundred five billion, two hundred six million, seven hundred one thousand, six hundred sixty-four".