57649919040 has 1008 divisors, whose sum is σ = 242113972464. Its totient is φ = 12541132800.

The previous prime is 57649919009. The next prime is 57649919059. The reversal of 57649919040 is 4091994675.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12556547136 + 45093371904 = 112056^2 + 212352^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 318507750 + ... + 318507930.

It is an arithmetic number, because the mean of its divisors is an integer number (240192433).

Almost surely, 2^57649919040 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 57649919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121056986232).

57649919040 is an abundant number, since it is smaller than the sum of its proper divisors (184464053424).

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

57649919040 is a wasteful number, since it uses less digits than its factorization.

57649919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 57649919040 in words is "fifty-seven billion, six hundred forty-nine million, nine hundred nineteen thousand, forty".