57145953354880 has 256 divisors, whose sum is σ = 155236480560000. Its totient is φ = 19941784879104.

The previous prime is 57145953354839. The next prime is 57145953354887. The reversal of 57145953354880 is 8845335954175.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (57145953354887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65804136 + ... + 66666904.

Almost surely, 2^{57145953354880} 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 57145953354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77618240280000).

57145953354880 is an abundant number, since it is smaller than the sum of its proper divisors (98090527205120).

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

57145953354880 is a wasteful number, since it uses less digits than its factorization.

57145953354880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863239 (or 863227 counting only the distinct ones).

The product of its (nonzero) digits is 362880000, while the sum is 67.

The spelling of 57145953354880 in words is "fifty-seven trillion, one hundred forty-five billion, nine hundred fifty-three million, three hundred fifty-four thousand, eight hundred eighty".