10074009319200 has 864 divisors, whose sum is σ = 38179775088000. Its totient is φ = 2491969536000.

The previous prime is 10074009319189. The next prime is 10074009319207. The reversal of 10074009319200 is 291390047001.

10074009319200 is a `hidden beast` number, since 10 + 0 + 7 + 400 + 9 + 31 + 9 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10074009319207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1447203720 + ... + 1447210680.

It is an arithmetic number, because the mean of its divisors is an integer number (44189554500).

Almost surely, 2^{10074009319200} is an apocalyptic number.

10074009319200 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 10074009319200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19089887544000).

10074009319200 is an abundant number, since it is smaller than the sum of its proper divisors (28105765768800).

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

10074009319200 is a wasteful number, since it uses less digits than its factorization.

10074009319200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7226 (or 7210 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10074009319200 in words is "ten trillion, seventy-four billion, nine million, three hundred nineteen thousand, two hundred".