57549738383040 has 224 divisors, whose sum is σ = 183694349131776. Its totient is φ = 15264982241280.

The previous prime is 57549738382999. The next prime is 57549738383141. The reversal of 57549738383040 is 4038383794575.

It is a super-3 number, since 3×57549738383040³ (a number of 42 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159297649 + ... + 159658511.

It is an arithmetic number, because the mean of its divisors is an integer number (820064058624).

Almost surely, 2^{57549738383040} 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 57549738383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91847174565888).

57549738383040 is an abundant number, since it is smaller than the sum of its proper divisors (126144610748736).

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

57549738383040 is a wasteful number, since it uses less digits than its factorization.

57549738383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361767 (or 361757 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 66.

The spelling of 57549738383040 in words is "fifty-seven trillion, five hundred forty-nine billion, seven hundred thirty-eight million, three hundred eighty-three thousand, forty".