57745544040 has 192 divisors, whose sum is σ = 197706600000. Its totient is φ = 14576827392.

The previous prime is 57745544011. The next prime is 57745544069. The reversal of 57745544040 is 4044554775.

57745544040 is a `hidden beast` number, since 57 + 7 + 4 + 554 + 4 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (57745544011) and next prime (57745544069).

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

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, 11618676 + ... + 11623644.

It is an arithmetic number, because the mean of its divisors is an integer number (1029721875).

Almost surely, 2^57745544040 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 57745544040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98853300000).

57745544040 is an abundant number, since it is smaller than the sum of its proper divisors (139961055960).

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

57745544040 is a wasteful number, since it uses less digits than its factorization.

57745544040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6704 (or 6697 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 45.

The spelling of 57745544040 in words is "fifty-seven billion, seven hundred forty-five million, five hundred forty-four thousand, forty".