10136851200 has 648 divisors, whose sum is σ = 42807704576. Its totient is φ = 2239488000.

The previous prime is 10136851159. The next prime is 10136851223. The reversal of 10136851200 is 215863101.

10136851200 is a `hidden beast` number, since 10 + 136 + 8 + 512 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 12498795 + ... + 12499605.

Almost surely, 2^10136851200 is an apocalyptic number.

10136851200 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 10136851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21403852288).

10136851200 is an abundant number, since it is smaller than the sum of its proper divisors (32670853376).

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

10136851200 is a wasteful number, since it uses less digits than its factorization.

10136851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10136851200 in words is "ten billion, one hundred thirty-six million, eight hundred fifty-one thousand, two hundred".