57453805440 has 320 divisors, whose sum is σ = 207789912000. Its totient is φ = 15125999616.

The previous prime is 57453805439. The next prime is 57453805441. The reversal of 57453805440 is 4450835475.

57453805440 is a `hidden beast` number, since 5 + 74 + 5 + 38 + 0 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57453805439) and next prime (57453805441).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57453805441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4088346 + ... + 4102374.

It is an arithmetic number, because the mean of its divisors is an integer number (649343475).

Almost surely, 2^57453805440 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 57453805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103894956000).

57453805440 is an abundant number, since it is smaller than the sum of its proper divisors (150336106560).

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

57453805440 is a wasteful number, since it uses less digits than its factorization.

57453805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14139 (or 14118 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 57453805440 in words is "fifty-seven billion, four hundred fifty-three million, eight hundred five thousand, four hundred forty".