10009281919300 has 72 divisors (see below), whose sum is σ = 22446804140712. Its totient is φ = 3871494144000.

The previous prime is 10009281919253. The next prime is 10009281919319. The reversal of 10009281919300 is 391918290001.

10009281919300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 7377775034436 + 2631506884864 = 2716206^2 + 1622192^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10338861 + ... + 11265460.

It is an arithmetic number, because the mean of its divisors is an integer number (311761168621).

Almost surely, 2^{10009281919300} is an apocalyptic number.

10009281919300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10009281919300 is an abundant number, since it is smaller than the sum of its proper divisors (12437522221412).

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

10009281919300 is a wasteful number, since it uses less digits than its factorization.

10009281919300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21604489 (or 21604482 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 43.

The spelling of 10009281919300 in words is "ten trillion, nine billion, two hundred eighty-one million, nine hundred nineteen thousand, three hundred".