57304849351680 has 2112 divisors, whose sum is σ = 251692585320960. Its totient is φ = 12103188480000.

The previous prime is 57304849351657. The next prime is 57304849351693. The reversal of 57304849351680 is 8615394840375.

57304849351680 is a `hidden beast` number, since 5 + 7 + 3 + 0 + 484 + 93 + 5 + 1 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14322629680 + ... + 14322633680.

Almost surely, 2^{57304849351680} 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 57304849351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125846292660480).

57304849351680 is an abundant number, since it is smaller than the sum of its proper divisors (194387735969280).

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

57304849351680 is a wasteful number, since it uses less digits than its factorization.

57304849351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 57304849351680 in words is "fifty-seven trillion, three hundred four billion, eight hundred forty-nine million, three hundred fifty-one thousand, six hundred eighty".