10029999317184 has 420 divisors, whose sum is σ = 37730491219080. Its totient is φ = 2605193902080.

The previous prime is 10029999317171. The next prime is 10029999317227. The reversal of 10029999317184 is 48171399992001.

It is a happy number.

10029999317184 is a `hidden beast` number, since 10 + 0 + 299 + 9 + 9 + 317 + 18 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 999372 + ... + 4588980.

Almost surely, 2^{10029999317184} is an apocalyptic number.

10029999317184 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 10029999317184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18865245609540).

10029999317184 is an abundant number, since it is smaller than the sum of its proper divisors (27700491901896).

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

10029999317184 is a wasteful number, since it uses less digits than its factorization.

10029999317184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589658 (or 3589632 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 10029999317184 in words is "ten trillion, twenty-nine billion, nine hundred ninety-nine million, three hundred seventeen thousand, one hundred eighty-four".