385716765720 has 256 divisors, whose sum is σ = 1360950958080. Its totient is φ = 86218905600.

The previous prime is 385716765659. The next prime is 385716765727. The reversal of 385716765720 is 27567617583.

It is a Cunningham number, because it is equal to 621061²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385716765727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16135617 + ... + 16159503.

It is an arithmetic number, because the mean of its divisors is an integer number (5316214680).

Almost surely, 2^385716765720 is an apocalyptic number.

385716765720 is a gapful number since it is divisible by the number (30) 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 385716765720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680475479040).

385716765720 is an abundant number, since it is smaller than the sum of its proper divisors (975234192360).

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

385716765720 is a wasteful number, since it uses less digits than its factorization.

385716765720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24866 (or 24862 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 57.

The spelling of 385716765720 in words is "three hundred eighty-five billion, seven hundred sixteen million, seven hundred sixty-five thousand, seven hundred twenty".