10212463872 has 216 divisors, whose sum is σ = 32253093600. Its totient is φ = 3088502784.

The previous prime is 10212463867. The next prime is 10212463879. The reversal of 10212463872 is 27836421201.

It is a happy number.

10212463872 is a `hidden beast` number, since 1 + 0 + 2 + 12 + 4 + 638 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212463879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764279 + ... + 1770057.

Almost surely, 2^10212463872 is an apocalyptic number.

10212463872 is a gapful number since it is divisible by the number (12) 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 10212463872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16126546800).

10212463872 is an abundant number, since it is smaller than the sum of its proper divisors (22040629728).

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

10212463872 is a wasteful number, since it uses less digits than its factorization.

10212463872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5873 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10212463872 in words is "ten billion, two hundred twelve million, four hundred sixty-three thousand, eight hundred seventy-two".