380503259136 has 1152 divisors, whose sum is σ = 1514524677120. Its totient is φ = 88827494400.

The previous prime is 380503259093. The next prime is 380503259159. The reversal of 380503259136 is 631952305083.

It is a happy number.

380503259136 is a `hidden beast` number, since 3 + 8 + 0 + 50 + 3 + 2 + 591 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 380503259091 and 380503259100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 756467461 + ... + 756467963.

It is an arithmetic number, because the mean of its divisors is an integer number (1314691560).

Almost surely, 2^380503259136 is an apocalyptic number.

380503259136 is a gapful number since it is divisible by the number (36) 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 380503259136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757262338560).

380503259136 is an abundant number, since it is smaller than the sum of its proper divisors (1134021417984).

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

380503259136 is a wasteful number, since it uses less digits than its factorization.

380503259136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 380503259136 in words is "three hundred eighty billion, five hundred three million, two hundred fifty-nine thousand, one hundred thirty-six".