57249191559168 has 432 divisors, whose sum is σ = 190220691548160. Its totient is φ = 16252359671808.

The previous prime is 57249191559113. The next prime is 57249191559193. The reversal of 57249191559168 is 86195519194275.

It is a happy number.

57249191559168 is a `hidden beast` number, since 5 + 7 + 2 + 4 + 9 + 1 + 9 + 1 + 559 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 57249191559096 and 57249191559105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1296411073 + ... + 1296455231.

It is an arithmetic number, because the mean of its divisors is an integer number (440325674880).

Almost surely, 2^{57249191559168} 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 57249191559168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95110345774080).

57249191559168 is an abundant number, since it is smaller than the sum of its proper divisors (132971499988992).

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

57249191559168 is an equidigital number, since it uses as much as digits as its factorization.

57249191559168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44363 (or 44328 counting only the distinct ones).

The product of its digits is 244944000, while the sum is 72.

The spelling of 57249191559168 in words is "fifty-seven trillion, two hundred forty-nine billion, one hundred ninety-one million, five hundred fifty-nine thousand, one hundred sixty-eight".