10212794880 has 640 divisors, whose sum is σ = 38183270400. Its totient is φ = 2309750784.

The previous prime is 10212794873. The next prime is 10212794909. The reversal of 10212794880 is 8849721201.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57054631 + ... + 57054809.

It is an arithmetic number, because the mean of its divisors is an integer number (59661360).

Almost surely, 2^10212794880 is an apocalyptic number.

10212794880 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 10212794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19091635200).

10212794880 is an abundant number, since it is smaller than the sum of its proper divisors (27970475520).

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

10212794880 is a wasteful number, since it uses less digits than its factorization.

10212794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 10212794880 in words is "ten billion, two hundred twelve million, seven hundred ninety-four thousand, eight hundred eighty".