10212775488 has 140 divisors (see below), whose sum is σ = 31318253340. Its totient is φ = 3286821888.

The previous prime is 10212775487. The next prime is 10212775493. The reversal of 10212775488 is 88457721201.

10212775488 is a `hidden beast` number, since 10 + 21 + 2 + 77 + 548 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7665352704 + 2547422784 = 87552^2 + 50472^2 .

It is not an unprimeable number, because it can be changed into a prime (10212775487) 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 19 ways as a sum of consecutive naturals, for example, 116370 + ... + 184302.

Almost surely, 2^10212775488 is an apocalyptic number.

10212775488 is a gapful number since it is divisible by the number (18) 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 10212775488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15659126670).

10212775488 is an abundant number, since it is smaller than the sum of its proper divisors (21105477852).

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

10212775488 is an equidigital number, since it uses as much as digits as its factorization.

10212775488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67986 (or 67967 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 10212775488 in words is "ten billion, two hundred twelve million, seven hundred seventy-five thousand, four hundred eighty-eight".