57752784540 has 864 divisors, whose sum is σ = 217400863680. Its totient is φ = 12809871360.

The previous prime is 57752784533. The next prime is 57752784547. The reversal of 57752784540 is 4548725775.

57752784540 is a `hidden beast` number, since 5 + 7 + 75 + 27 + 8 + 4 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (57752784533) and next prime (57752784547).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57752784547) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 529842006 + ... + 529842114.

It is an arithmetic number, because the mean of its divisors is an integer number (251621370).

Almost surely, 2^57752784540 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 57752784540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108700431840).

57752784540 is an abundant number, since it is smaller than the sum of its proper divisors (159648079140).

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

57752784540 is a wasteful number, since it uses less digits than its factorization.

57752784540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 10976000, while the sum is 54.

The spelling of 57752784540 in words is "fifty-seven billion, seven hundred fifty-two million, seven hundred eighty-four thousand, five hundred forty".