380261325717504 has 1920 divisors, whose sum is σ = 1461586452480000. Its totient is φ = 94818926592000.

The previous prime is 380261325717491. The next prime is 380261325717523. The reversal of 380261325717504 is 405717523162083.

380261325717504 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 6 + 13 + 2 + 571 + 7 + 50 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138327145122 + ... + 138327147870.

It is an arithmetic number, because the mean of its divisors is an integer number (761242944000).

Almost surely, 2^{380261325717504} 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 380261325717504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730793226240000).

380261325717504 is an abundant number, since it is smaller than the sum of its proper divisors (1081325126762496).

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

380261325717504 is a wasteful number, since it uses less digits than its factorization.

380261325717504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

Adding to 380261325717504 its reverse (405717523162083), we get a palindrome (785978848879587).

The spelling of 380261325717504 in words is "three hundred eighty trillion, two hundred sixty-one billion, three hundred twenty-five million, seven hundred seventeen thousand, five hundred four".