57605743772496 has 640 divisors, whose sum is σ = 186135086592000. Its totient is φ = 16950706569216.

The previous prime is 57605743772491. The next prime is 57605743772509. The reversal of 57605743772496 is 69427734750675.

57605743772496 is a `hidden beast` number, since 5 + 7 + 6 + 0 + 5 + 7 + 4 + 377 + 249 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57605743772491) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5988740775 + ... + 5988750393.

It is an arithmetic number, because the mean of its divisors is an integer number (290836072800).

Almost surely, 2^{57605743772496} 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 57605743772496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93067543296000).

57605743772496 is an abundant number, since it is smaller than the sum of its proper divisors (128529342819504).

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

57605743772496 is a wasteful number, since it uses less digits than its factorization.

57605743772496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10096 (or 10084 counting only the distinct ones).

The product of its (nonzero) digits is 1867017600, while the sum is 72.

The spelling of 57605743772496 in words is "fifty-seven trillion, six hundred five billion, seven hundred forty-three million, seven hundred seventy-two thousand, four hundred ninety-six".