57714668712288 has 1152 divisors, whose sum is σ = 207260210626560. Its totient is φ = 14864601600000.

The previous prime is 57714668712287. The next prime is 57714668712329. The reversal of 57714668712288 is 88221786641775.

57714668712288 is a `hidden beast` number, since 5 + 7 + 7 + 1 + 466 + 87 + 1 + 2 + 2 + 88 = 666.

57714668712288 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57714668712287) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18109401831 + ... + 18109405017.

It is an arithmetic number, because the mean of its divisors is an integer number (179913377280).

Almost surely, 2^{57714668712288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57714668712288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103630105313280).

57714668712288 is an abundant number, since it is smaller than the sum of its proper divisors (149545541914272).

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

57714668712288 is a wasteful number, since it uses less digits than its factorization.

57714668712288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3501 counting only the distinct ones).

The product of its digits is 505774080, while the sum is 72.

The spelling of 57714668712288 in words is "fifty-seven trillion, seven hundred fourteen billion, six hundred sixty-eight million, seven hundred twelve thousand, two hundred eighty-eight".