10005040355200 has 576 divisors, whose sum is σ = 28700216662320. Its totient is φ = 3417204326400.

The previous prime is 10005040355159. The next prime is 10005040355227. The reversal of 10005040355200 is 255304050001.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 71 ways as a sum of consecutive naturals, for example, 8677397824 + ... + 8677398976.

Almost surely, 2^{10005040355200} is an apocalyptic number.

10005040355200 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 10005040355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14350108331160).

10005040355200 is an abundant number, since it is smaller than the sum of its proper divisors (18695176307120).

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

10005040355200 is a wasteful number, since it uses less digits than its factorization.

10005040355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 10005040355200 in words is "ten trillion, five billion, forty million, three hundred fifty-five thousand, two hundred".