10129618512 has 160 divisors (see below), whose sum is σ = 31780882560. Its totient is φ = 3070172160.

The previous prime is 10129618511. The next prime is 10129618601. The reversal of 10129618512 is 21581692101.

10129618512 is a `hidden beast` number, since 1 + 0 + 1 + 29 + 618 + 5 + 12 = 666.

10129618512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10129618511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362812 + ... + 389732.

It is an arithmetic number, because the mean of its divisors is an integer number (198630516).

Almost surely, 2^10129618512 is an apocalyptic number.

10129618512 is a gapful number since it is divisible by the number (12) 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 10129618512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15890441280).

10129618512 is an abundant number, since it is smaller than the sum of its proper divisors (21651264048).

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

10129618512 is a wasteful number, since it uses less digits than its factorization.

10129618512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27018 (or 27006 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 10129618512 in words is "ten billion, one hundred twenty-nine million, six hundred eighteen thousand, five hundred twelve".