57531047040 has 320 divisors, whose sum is σ = 206344416960. Its totient is φ = 15338253312.

The previous prime is 57531046999. The next prime is 57531047047. The reversal of 57531047040 is 4074013575.

It is a happy number.

57531047040 is a `hidden beast` number, since 57 + 531 + 0 + 4 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57531046986 and 57531047004.

It is not an unprimeable number, because it can be changed into a prime (57531047047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12594837 + ... + 12599403.

It is an arithmetic number, because the mean of its divisors is an integer number (644826303).

Almost surely, 2^57531047040 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 57531047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103172208480).

57531047040 is an abundant number, since it is smaller than the sum of its proper divisors (148813369920).

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

57531047040 is an frugal number, since it uses more digits than its factorization.

57531047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 57531047040 in words is "fifty-seven billion, five hundred thirty-one million, forty-seven thousand, forty".