57489430261248 has 280 divisors, whose sum is σ = 175140149520600. Its totient is φ = 18838337163264.

The previous prime is 57489430261223. The next prime is 57489430261313. The reversal of 57489430261248 is 84216203498475.

57489430261248 is a `hidden beast` number, since 5 + 7 + 4 + 8 + 9 + 4 + 3 + 0 + 2 + 612 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20716338 + ... + 23326926.

It is a 1-persistent number, because it is pandigital, but 2⋅57489430261248 = 114978860522496 is not.

Almost surely, 2^{57489430261248} 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 57489430261248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87570074760300).

57489430261248 is an abundant number, since it is smaller than the sum of its proper divisors (117650719259352).

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

57489430261248 is an frugal number, since it uses more digits than its factorization.

57489430261248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610684 (or 2610653 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 57489430261248 in words is "fifty-seven trillion, four hundred eighty-nine billion, four hundred thirty million, two hundred sixty-one thousand, two hundred forty-eight".