57683831849280 has 896 divisors, whose sum is σ = 250515636940800. Its totient is φ = 12167771332608.

The previous prime is 57683831849279. The next prime is 57683831849383. The reversal of 57683831849280 is 8294813838675.

57683831849280 is a `hidden beast` number, since 5 + 7 + 6 + 8 + 383 + 1 + 84 + 92 + 80 = 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 = 57683831849199 and 57683831849208.

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 127 ways as a sum of consecutive naturals, for example, 5675861479 + ... + 5675871641.

It is an arithmetic number, because the mean of its divisors is an integer number (279593344800).

It is a 1-persistent number, because it is pandigital, but 2⋅57683831849280 = 115367663698560 is not.

Almost surely, 2^{57683831849280} 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 57683831849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125257818470400).

57683831849280 is an abundant number, since it is smaller than the sum of its proper divisors (192831805091520).

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

57683831849280 is a wasteful number, since it uses less digits than its factorization.

57683831849280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17428 (or 17412 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 57683831849280 in words is "fifty-seven trillion, six hundred eighty-three billion, eight hundred thirty-one million, eight hundred forty-nine thousand, two hundred eighty".