57316410000 has 600 divisors, whose sum is σ = 210802271680. Its totient is φ = 15069888000.

The previous prime is 57316409989. The next prime is 57316410001. The reversal of 57316410000 is 1461375.

It is a tau number, because it is divible by the number of its divisors (600).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (57316410001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 250289886 + ... + 250290114.

Almost surely, 2^57316410000 is an apocalyptic number.

57316410000 is a gapful number since it is divisible by the number (50) 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 57316410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105401135840).

57316410000 is an abundant number, since it is smaller than the sum of its proper divisors (153485861680).

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

57316410000 is a wasteful number, since it uses less digits than its factorization.

57316410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 57316410000 its reverse (1461375), we get a palindrome (57317871375).

The spelling of 57316410000 in words is "fifty-seven billion, three hundred sixteen million, four hundred ten thousand".