57768122500 has 405 divisors, whose sum is σ = 153197197923. Its totient is φ = 19035720000.

The previous prime is 57768122441. The next prime is 57768122537. The reversal of 57768122500 is 522186775.

The square root of 57768122500 is 240350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 4529020804 + 53239101696 = 67298^2 + 230736^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2511657489 + ... + 2511657511.

Almost surely, 2^57768122500 is an apocalyptic number.

57768122500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57768122500 is the 240350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57768122500

57768122500 is an abundant number, since it is smaller than the sum of its proper divisors (95429075423).

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

57768122500 is a wasteful number, since it uses less digits than its factorization.

57768122500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

It can be divided in two parts, 5776 and 8122500, that multiplied together give a square (46915560000 = 216600²).

The spelling of 57768122500 in words is "fifty-seven billion, seven hundred sixty-eight million, one hundred twenty-two thousand, five hundred".