57848131946880 has 2048 divisors, whose sum is σ = 245893570560000. Its totient is φ = 12855109017600.

The previous prime is 57848131946833. The next prime is 57848131946887. The reversal of 57848131946880 is 8864913184875.

It is a happy number.

57848131946880 is a `hidden beast` number, since 5 + 7 + 8 + 4 + 81 + 3 + 1 + 9 + 468 + 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 = 57848131946799 and 57848131946808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57848131946887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9068523531 + ... + 9068529909.

It is an arithmetic number, because the mean of its divisors is an integer number (120065220000).

Almost surely, 2^{57848131946880} 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 57848131946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122946785280000).

57848131946880 is an abundant number, since it is smaller than the sum of its proper divisors (188045438613120).

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

57848131946880 is a wasteful number, since it uses less digits than its factorization.

57848131946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6480 (or 6450 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 57848131946880 in words is "fifty-seven trillion, eight hundred forty-eight billion, one hundred thirty-one million, nine hundred forty-six thousand, eight hundred eighty".