57606072480 has 480 divisors, whose sum is σ = 222664292928. Its totient is φ = 13909708800.

The previous prime is 57606072467. The next prime is 57606072539. The reversal of 57606072480 is 8427060675.

57606072480 is a `hidden beast` number, since 57 + 60 + 60 + 7 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44620635 + ... + 44621925.

Almost surely, 2^57606072480 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 57606072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111332146464).

57606072480 is an abundant number, since it is smaller than the sum of its proper divisors (165058220448).

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

57606072480 is a wasteful number, since it uses less digits than its factorization.

57606072480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 57606072480 in words is "fifty-seven billion, six hundred six million, seventy-two thousand, four hundred eighty".