10381150080 has 512 divisors, whose sum is σ = 44240256000. Its totient is φ = 2247450624.

The previous prime is 10381150067. The next prime is 10381150093. The reversal of 10381150080 is 8005118301.

10381150080 is a `hidden beast` number, since 1 + 0 + 3 + 81 + 1 + 500 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (10381150067) and next prime (10381150093).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2295982 + ... + 2300498.

It is an arithmetic number, because the mean of its divisors is an integer number (86406750).

Almost surely, 2^10381150080 is an apocalyptic number.

10381150080 is a gapful number since it is divisible by the number (10) 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 10381150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22120128000).

10381150080 is an abundant number, since it is smaller than the sum of its proper divisors (33859105920).

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

10381150080 is a wasteful number, since it uses less digits than its factorization.

10381150080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4571 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 10381150080 its reverse (8005118301), we get a palindrome (18386268381).

It can be divided in two parts, 10381 and 150080, that added together give a triangular number (160461 = T₅₆₆).

The spelling of 10381150080 in words is "ten billion, three hundred eighty-one million, one hundred fifty thousand, eighty".