57341965824 has 720 divisors, whose sum is σ = 203846859216. Its totient is φ = 15984967680.

The previous prime is 57341965817. The next prime is 57341965859. The reversal of 57341965824 is 42856914375.

It is a happy number.

57341965824 is a `hidden beast` number, since 57 + 3 + 4 + 1 + 9 + 6 + 582 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 71 ways as a sum of consecutive naturals, for example, 195706222 + ... + 195706514.

Almost surely, 2^57341965824 is an apocalyptic number.

57341965824 is a gapful number since it is divisible by the number (54) 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 57341965824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101923429608).

57341965824 is an abundant number, since it is smaller than the sum of its proper divisors (146504893392).

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

57341965824 is a wasteful number, since it uses less digits than its factorization.

57341965824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 322 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

It can be divided in two parts, 57341 and 965824, that added together give a triangular number (1023165 = T₁₄₃₀).

The spelling of 57341965824 in words is "fifty-seven billion, three hundred forty-one million, nine hundred sixty-five thousand, eight hundred twenty-four".