57936117201672 has 256 divisors, whose sum is σ = 163540604344320. Its totient is φ = 17006158540800.

The previous prime is 57936117201643. The next prime is 57936117201679. The reversal of 57936117201672 is 27610271163975.

It is not an unprimeable number, because it can be changed into a prime (57936117201679) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164447547 + ... + 164799477.

It is an arithmetic number, because the mean of its divisors is an integer number (638830485720).

Almost surely, 2^{57936117201672} 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 57936117201672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81770302172160).

57936117201672 is an abundant number, since it is smaller than the sum of its proper divisors (105604487142648).

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

57936117201672 is a wasteful number, since it uses less digits than its factorization.

57936117201672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352364 (or 352360 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 57.

The spelling of 57936117201672 in words is "fifty-seven trillion, nine hundred thirty-six billion, one hundred seventeen million, two hundred one thousand, six hundred seventy-two".