57042134016 has 264 divisors, whose sum is σ = 187272595296. Its totient is φ = 15338373120.

The previous prime is 57042133969. The next prime is 57042134021. The reversal of 57042134016 is 61043124075.

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 23 ways as a sum of consecutive naturals, for example, 2547831 + ... + 2570121.

Almost surely, 2^57042134016 is an apocalyptic number.

57042134016 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 57042134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93636297648).

57042134016 is an abundant number, since it is smaller than the sum of its proper divisors (130230461280).

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

57042134016 is a wasteful number, since it uses less digits than its factorization.

57042134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22345 (or 22320 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 57042134016 in words is "fifty-seven billion, forty-two million, one hundred thirty-four thousand, sixteen".