57522216960 has 448 divisors, whose sum is σ = 220297613760. Its totient is φ = 14155776000.

The previous prime is 57522216901. The next prime is 57522216977. The reversal of 57522216960 is 6961222575.

57522216960 is a `hidden beast` number, since 5 + 7 + 522 + 2 + 1 + 69 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14374960 + ... + 14378960.

It is an arithmetic number, because the mean of its divisors is an integer number (491735745).

Almost surely, 2^57522216960 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 57522216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110148806880).

57522216960 is an abundant number, since it is smaller than the sum of its proper divisors (162775396800).

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

57522216960 is a wasteful number, since it uses less digits than its factorization.

57522216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 57522216960 in words is "fifty-seven billion, five hundred twenty-two million, two hundred sixteen thousand, nine hundred sixty".