57542657760 has 288 divisors, whose sum is σ = 224867627712. Its totient is φ = 13126164480.

The previous prime is 57542657759. The next prime is 57542657773. The reversal of 57542657760 is 6775624575.

57542657760 is a `hidden beast` number, since 5 + 7 + 5 + 4 + 2 + 6 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×57542657760² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57542657697 and 57542657706.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 5246202 + ... + 5257158.

It is an arithmetic number, because the mean of its divisors is an integer number (780790374).

Almost surely, 2^57542657760 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 57542657760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112433813856).

57542657760 is an abundant number, since it is smaller than the sum of its proper divisors (167324969952).

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

57542657760 is a wasteful number, since it uses less digits than its factorization.

57542657760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11506 (or 11495 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 57542657760 in words is "fifty-seven billion, five hundred forty-two million, six hundred fifty-seven thousand, seven hundred sixty".