57541165920 has 288 divisors, whose sum is σ = 225255401280. Its totient is φ = 13102755840.

The previous prime is 57541165919. The next prime is 57541165921. The reversal of 57541165920 is 2956114575.

It is a happy number.

57541165920 is a `hidden beast` number, since 5 + 7 + 5 + 41 + 16 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57541165919) and next prime (57541165921).

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57541165921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2700910 + ... + 2722130.

It is an arithmetic number, because the mean of its divisors is an integer number (782136810).

Almost surely, 2^57541165920 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 57541165920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112627700640).

57541165920 is an abundant number, since it is smaller than the sum of its proper divisors (167714235360).

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

57541165920 is a wasteful number, since it uses less digits than its factorization.

57541165920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21518 (or 21507 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 57541165920 in words is "fifty-seven billion, five hundred forty-one million, one hundred sixty-five thousand, nine hundred twenty".