57639450960 has 1200 divisors, whose sum is σ = 253573841664. Its totient is φ = 11878244352.

The previous prime is 57639450931. The next prime is 57639450961. The reversal of 57639450960 is 6905493675.

57639450960 is a `hidden beast` number, since 5 + 76 + 3 + 9 + 4 + 509 + 60 = 666.

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 junction number, because it is equal to n+sod(n) for n = 57639450897 and 57639450906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57639450961) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 559606269 + ... + 559606371.

Almost surely, 2^57639450960 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 57639450960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126786920832).

57639450960 is an abundant number, since it is smaller than the sum of its proper divisors (195934390704).

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

57639450960 is a wasteful number, since it uses less digits than its factorization.

57639450960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 57639450960 in words is "fifty-seven billion, six hundred thirty-nine million, four hundred fifty thousand, nine hundred sixty".