10284991200 has 720 divisors, whose sum is σ = 41923816704. Its totient is φ = 2432332800.

The previous prime is 10284991181. The next prime is 10284991237. The reversal of 10284991200 is 219948201.

It is a tau number, because it is divible by the number of its divisors (720).

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 (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33501447 + ... + 33501753.

Almost surely, 2^10284991200 is an apocalyptic number.

10284991200 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 10284991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20961908352).

10284991200 is an abundant number, since it is smaller than the sum of its proper divisors (31638825504).

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

10284991200 is a wasteful number, since it uses less digits than its factorization.

10284991200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10284991200 in words is "ten billion, two hundred eighty-four million, nine hundred ninety-one thousand, two hundred".