10013150784 has 672 divisors, whose sum is σ = 36322406400. Its totient is φ = 2403717120.

The previous prime is 10013150783. The next prime is 10013150881. The reversal of 10013150784 is 48705131001.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013150783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72036987 + ... + 72037125.

It is an arithmetic number, because the mean of its divisors is an integer number (54051200).

Almost surely, 2^10013150784 is an apocalyptic number.

10013150784 is a gapful number since it is divisible by the number (14) 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 10013150784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18161203200).

10013150784 is an abundant number, since it is smaller than the sum of its proper divisors (26309255616).

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

10013150784 is a wasteful number, since it uses less digits than its factorization.

10013150784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

Adding to 10013150784 its reverse (48705131001), we get a palindrome (58718281785).

The spelling of 10013150784 in words is "ten billion, thirteen million, one hundred fifty thousand, seven hundred eighty-four".