57648010000 has 225 divisors, whose sum is σ = 162833525811. Its totient is φ = 19765032000.

The previous prime is 57648009973. The next prime is 57648010009. The reversal of 57648010000 is 1084675.

The square root of 57648010000 is 240100.

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

It can be written as a sum of positive squares in 2 ways, for example, as 4519603984 + 53128406016 = 67228^2 + 230496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57648010009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8235429997 + ... + 8235430003.

Almost surely, 2^57648010000 is an apocalyptic number.

57648010000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57648010000 is the 240100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57648010000

57648010000 is an abundant number, since it is smaller than the sum of its proper divisors (105185515811).

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

57648010000 is an frugal number, since it uses more digits than its factorization.

57648010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

Adding to 57648010000 its reverse (1084675), we get a palindrome (57649094675).

The spelling of 57648010000 in words is "fifty-seven billion, six hundred forty-eight million, ten thousand".