387122559318720 has 448 divisors, whose sum is σ = 1399098062839680. Its totient is φ = 100707154329600.

The previous prime is 387122559318709. The next prime is 387122559318721. The reversal of 387122559318720 is 27813955221783.

387122559318720 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 2 + 2 + 5 + 593 + 18 + 7 + 20 = 666.

It is a super-2 number, since 2×387122559318720² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (387122559318721) 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, 5802772084 + ... + 5802838796.

It is an arithmetic number, because the mean of its divisors is an integer number (3122986747410).

Almost surely, 2^{387122559318720} is an apocalyptic number.

387122559318720 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 387122559318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699549031419840).

387122559318720 is an abundant number, since it is smaller than the sum of its proper divisors (1011975503520960).

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

387122559318720 is a wasteful number, since it uses less digits than its factorization.

387122559318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83161 (or 83145 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 387122559318720 in words is "three hundred eighty-seven trillion, one hundred twenty-two billion, five hundred fifty-nine million, three hundred eighteen thousand, seven hundred twenty".