10212681648 has 160 divisors (see below), whose sum is σ = 28873152000. Its totient is φ = 3091765248.

The previous prime is 10212681637. The next prime is 10212681667. The reversal of 10212681648 is 84618621201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17049253 + ... + 17049851.

It is an arithmetic number, because the mean of its divisors is an integer number (180457200).

Almost surely, 2^10212681648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212681648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14436576000).

10212681648 is an abundant number, since it is smaller than the sum of its proper divisors (18660470352).

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

10212681648 is a wasteful number, since it uses less digits than its factorization.

10212681648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 10212681648 in words is "ten billion, two hundred twelve million, six hundred eighty-one thousand, six hundred forty-eight".