57542647680 has 384 divisors, whose sum is σ = 228124615680. Its totient is φ = 13092581376.

The previous prime is 57542647663. The next prime is 57542647697. The reversal of 57542647680 is 8674624575.

It is a happy number.

57542647680 is a `hidden beast` number, since 5 + 75 + 4 + 26 + 476 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (57542647663) and next prime (57542647697).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×57542647680² (a number of 22 digits) contains 22 as substring.

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, 9149497 + ... + 9155783.

It is an arithmetic number, because the mean of its divisors is an integer number (594074520).

Almost surely, 2^57542647680 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 57542647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114062307840).

57542647680 is an abundant number, since it is smaller than the sum of its proper divisors (170581968000).

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

57542647680 is a wasteful number, since it uses less digits than its factorization.

57542647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546 (or 6531 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 57542647680 in words is "fifty-seven billion, five hundred forty-two million, six hundred forty-seven thousand, six hundred eighty".