57274624000000 has 945 divisors, whose sum is σ = 161125180208013. Its totient is φ = 20342784000000.

The previous prime is 57274623999977. The next prime is 57274624000031. The reversal of 57274624000000 is 42647275.

The square root of 57274624000000 is 7568000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 50178068987904 + 7096555012096 = 7083648^2 + 2663936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1331967999979 + ... + 1331968000021.

Almost surely, 2^{57274624000000} is an apocalyptic number.

57274624000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57274624000000 is the 7568000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57274624000000

57274624000000 is an abundant number, since it is smaller than the sum of its proper divisors (103850556208013).

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

57274624000000 is an frugal number, since it uses more digits than its factorization.

57274624000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

Adding to 57274624000000 its reverse (42647275), we get a palindrome (57274666647275).

The spelling of 57274624000000 in words is "fifty-seven trillion, two hundred seventy-four billion, six hundred twenty-four million", and thus it is an aban number.