57783543587952 has 640 divisors, whose sum is σ = 199887046410240. Its totient is φ = 13960025948160.

The previous prime is 57783543587923. The next prime is 57783543587977. The reversal of 57783543587952 is 25978534538775.

57783543587952 is digitally balanced in base 2, 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 (78).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 323662552 + ... + 323841032.

It is an arithmetic number, because the mean of its divisors is an integer number (312323510016).

Almost surely, 2^{57783543587952} is an apocalyptic number.

57783543587952 is a gapful number since it is divisible by the number (52) 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 57783543587952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99943523205120).

57783543587952 is an abundant number, since it is smaller than the sum of its proper divisors (142103502822288).

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

57783543587952 is a wasteful number, since it uses less digits than its factorization.

57783543587952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178661 (or 178655 counting only the distinct ones).

The product of its digits is 8890560000, while the sum is 78.

The spelling of 57783543587952 in words is "fifty-seven trillion, seven hundred eighty-three billion, five hundred forty-three million, five hundred eighty-seven thousand, nine hundred fifty-two".