10034184960 has 288 divisors, whose sum is σ = 35810880000. Its totient is φ = 2660511744.

The previous prime is 10034184949. The next prime is 10034184983. The reversal of 10034184960 is 6948143001.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10034184960² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6876711 + ... + 6878169.

Almost surely, 2^10034184960 is an apocalyptic number.

10034184960 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 10034184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17905440000).

10034184960 is an abundant number, since it is smaller than the sum of its proper divisors (25776695040).

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

10034184960 is a wasteful number, since it uses less digits than its factorization.

10034184960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10034184960 in words is "ten billion, thirty-four million, one hundred eighty-four thousand, nine hundred sixty".