10451507200900 has 72 divisors (see below), whose sum is σ = 22726642276800. Its totient is φ = 4171968528000.

The previous prime is 10451507200861. The next prime is 10451507200907. The reversal of 10451507200900 is 900270515401.

It is not an unprimeable number, because it can be changed into a prime (10451507200907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156964615 + ... + 157031185.

It is an arithmetic number, because the mean of its divisors is an integer number (315647809400).

Almost surely, 2^{10451507200900} is an apocalyptic number.

10451507200900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10451507200900 is an abundant number, since it is smaller than the sum of its proper divisors (12275135075900).

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

10451507200900 is a wasteful number, since it uses less digits than its factorization.

10451507200900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69805 (or 69798 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The spelling of 10451507200900 in words is "ten trillion, four hundred fifty-one billion, five hundred seven million, two hundred thousand, nine hundred".