10049509008 has 240 divisors, whose sum is σ = 35142322176. Its totient is φ = 2604476160.

The previous prime is 10049508983. The next prime is 10049509031. The reversal of 10049509008 is 80090594001.

10049509008 is a `hidden beast` number, since 100 + 49 + 509 + 0 + 0 + 8 = 666.

It is a super-3 number, since 3×10049509008³ (a number of 31 digits) contains 333 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7572441 + ... + 7573767.

Almost surely, 2^10049509008 is an apocalyptic number.

10049509008 is a gapful number since it is divisible by the number (18) 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 10049509008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17571161088).

10049509008 is an abundant number, since it is smaller than the sum of its proper divisors (25092813168).

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

10049509008 is a wasteful number, since it uses less digits than its factorization.

10049509008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 10049509008 in words is "ten billion, forty-nine million, five hundred nine thousand, eight".