57453750004608 has 384 divisors, whose sum is σ = 171253901819520. Its totient is φ = 18476846972928.

The previous prime is 57453750004601. The next prime is 57453750004613. The reversal of 57453750004608 is 80640005735475.

57453750004608 is a `hidden beast` number, since 5 + 7 + 45 + 37 + 500 + 0 + 4 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57453750004601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11055173466 + ... + 11055178662.

It is an arithmetic number, because the mean of its divisors is an integer number (445973702655).

Almost surely, 2^{57453750004608} 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 57453750004608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85626950909760).

57453750004608 is an abundant number, since it is smaller than the sum of its proper divisors (113800151814912).

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

57453750004608 is a wasteful number, since it uses less digits than its factorization.

57453750004608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8134 (or 8119 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 57453750004608 in words is "fifty-seven trillion, four hundred fifty-three billion, seven hundred fifty million, four thousand, six hundred eight".