10005906845200 has 120 divisors (see below), whose sum is σ = 29089441585152. Its totient is φ = 3228796815360.

The previous prime is 10005906845171. The next prime is 10005906845213. The reversal of 10005906845200 is 254860950001.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 105056464 + ... + 105151663.

Almost surely, 2^{10005906845200} is an apocalyptic number.

10005906845200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005906845200 is an abundant number, since it is smaller than the sum of its proper divisors (19083534739952).

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

10005906845200 is a wasteful number, since it uses less digits than its factorization.

10005906845200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210208169 (or 210208158 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 10005906845200 in words is "ten trillion, five billion, nine hundred six million, eight hundred forty-five thousand, two hundred".