57430441359360 has 1920 divisors, whose sum is σ = 219678223564800. Its totient is φ = 14326990110720.

The previous prime is 57430441359337. The next prime is 57430441359373. The reversal of 57430441359360 is 6395314403475.

57430441359360 is a `hidden beast` number, since 5 + 7 + 4 + 3 + 0 + 4 + 41 + 3 + 593 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 57430441359297 and 57430441359306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 140416726836 + ... + 140416727244.

It is an arithmetic number, because the mean of its divisors is an integer number (114415741440).

Almost surely, 2^{57430441359360} 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 57430441359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109839111782400).

57430441359360 is an abundant number, since it is smaller than the sum of its proper divisors (162247782205440).

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

57430441359360 is a wasteful number, since it uses less digits than its factorization.

57430441359360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 57430441359360 in words is "fifty-seven trillion, four hundred thirty billion, four hundred forty-one million, three hundred fifty-nine thousand, three hundred sixty".