57780765000 has 480 divisors, whose sum is σ = 227345976000. Its totient is φ = 12979008000.

The previous prime is 57780764999. The next prime is 57780765037. The reversal of 57780765000 is 56708775.

57780765000 is a `hidden beast` number, since 5 + 7 + 78 + 0 + 76 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18583446 + ... + 18586554.

It is an arithmetic number, because the mean of its divisors is an integer number (473637450).

Almost surely, 2^57780765000 is an apocalyptic number.

57780765000 is a gapful number since it is divisible by the number (50) 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 57780765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113672988000).

57780765000 is an abundant number, since it is smaller than the sum of its proper divisors (169565211000).

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

57780765000 is a wasteful number, since it uses less digits than its factorization.

57780765000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 57780765000 in words is "fifty-seven billion, seven hundred eighty million, seven hundred sixty-five thousand".