57354432840 has 192 divisors, whose sum is σ = 196373548800. Its totient is φ = 14477654016.

The previous prime is 57354432809. The next prime is 57354432857. The reversal of 57354432840 is 4823445375.

57354432840 is a `hidden beast` number, since 5 + 73 + 544 + 32 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 10825072 + ... + 10830368.

It is an arithmetic number, because the mean of its divisors is an integer number (1022778900).

Almost surely, 2^57354432840 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 57354432840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98186774400).

57354432840 is an abundant number, since it is smaller than the sum of its proper divisors (139019115960).

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

57354432840 is a wasteful number, since it uses less digits than its factorization.

57354432840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6916 (or 6909 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 57354432840 in words is "fifty-seven billion, three hundred fifty-four million, four hundred thirty-two thousand, eight hundred forty".