10019042529300 has 648 divisors, whose sum is σ = 39928081939200. Its totient is φ = 2085824563200.

The previous prime is 10019042529289. The next prime is 10019042529329. The reversal of 10019042529300 is 392524091001.

10019042529300 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 90 + 42 + 529 + 3 + 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 (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 23025151 + ... + 23456249.

It is an arithmetic number, because the mean of its divisors is an integer number (61617410400).

Almost surely, 2^{10019042529300} is an apocalyptic number.

10019042529300 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 10019042529300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19964040969600).

10019042529300 is an abundant number, since it is smaller than the sum of its proper divisors (29909039409900).

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

10019042529300 is a wasteful number, since it uses less digits than its factorization.

10019042529300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431181 (or 431164 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10019042529300 in words is "ten trillion, nineteen billion, forty-two million, five hundred twenty-nine thousand, three hundred".