57140942745600 has 3120 divisors, whose sum is σ = 254840803430400. Its totient is φ = 12380287795200.

The previous prime is 57140942745589. The next prime is 57140942745611. The reversal of 57140942745600 is 654724904175.

57140942745600 is a `hidden beast` number, since 5 + 7 + 1 + 4 + 0 + 9 + 4 + 2 + 74 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57140942745589) and next prime (57140942745611).

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

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 239 ways as a sum of consecutive naturals, for example, 95393894101 + ... + 95393894699.

Almost surely, 2^{57140942745600} is an apocalyptic number.

57140942745600 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 57140942745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127420401715200).

57140942745600 is an abundant number, since it is smaller than the sum of its proper divisors (197699860684800).

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

57140942745600 is a wasteful number, since it uses less digits than its factorization.

57140942745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 57140942745600 in words is "fifty-seven trillion, one hundred forty billion, nine hundred forty-two million, seven hundred forty-five thousand, six hundred".