57158342514000 has 3840 divisors, whose sum is σ = 268135138252800. Its totient is φ = 11236854988800.

The previous prime is 57158342513999. The next prime is 57158342514041. The reversal of 57158342514000 is 41524385175.

57158342514000 is a `hidden beast` number, since 5 + 7 + 1 + 5 + 83 + 425 + 140 + 0 + 0 = 666.

It is a super-2 number, since 2×57158342514000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 222406001872 + ... + 222406002128.

It is an arithmetic number, because the mean of its divisors is an integer number (69826858920).

Almost surely, 2^{57158342514000} is an apocalyptic number.

57158342514000 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 57158342514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134067569126400).

57158342514000 is an abundant number, since it is smaller than the sum of its proper divisors (210976795738800).

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

57158342514000 is a wasteful number, since it uses less digits than its factorization.

57158342514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

Adding to 57158342514000 its reverse (41524385175), we get a palindrome (57199866899175).

The spelling of 57158342514000 in words is "fifty-seven trillion, one hundred fifty-eight billion, three hundred forty-two million, five hundred fourteen thousand".