57384492713856 has 768 divisors, whose sum is σ = 217835865561600. Its totient is φ = 14047342755840.

The previous prime is 57384492713843. The next prime is 57384492713903. The reversal of 57384492713856 is 65831729448375.

57384492713856 is a `hidden beast` number, since 5 + 7 + 3 + 84 + 492 + 7 + 1 + 3 + 8 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325189360 + ... + 325365776.

It is an arithmetic number, because the mean of its divisors is an integer number (283640449950).

Almost surely, 2^{57384492713856} is an apocalyptic number.

57384492713856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57384492713856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108917932780800).

57384492713856 is an abundant number, since it is smaller than the sum of its proper divisors (160451372847744).

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

57384492713856 is a wasteful number, since it uses less digits than its factorization.

57384492713856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176667 (or 176652 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 57384492713856 in words is "fifty-seven trillion, three hundred eighty-four billion, four hundred ninety-two million, seven hundred thirteen thousand, eight hundred fifty-six".