10049356800 has 1056 divisors, whose sum is σ = 44186378240. Its totient is φ = 2189721600.

The previous prime is 10049356789. The next prime is 10049356907. The reversal of 10049356800 is 865394001.

10049356800 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 93 + 568 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 149990367 + ... + 149990433.

Almost surely, 2^10049356800 is an apocalyptic number.

10049356800 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 10049356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22093189120).

10049356800 is an abundant number, since it is smaller than the sum of its proper divisors (34137021440).

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

10049356800 is a wasteful number, since it uses less digits than its factorization.

10049356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10049356800 in words is "ten billion, forty-nine million, three hundred fifty-six thousand, eight hundred".