10221770676 has 192 divisors, whose sum is σ = 28671971328. Its totient is φ = 2802235392.

The previous prime is 10221770617. The next prime is 10221770677. The reversal of 10221770676 is 67607712201.

10221770676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221770677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6281775 + ... + 6283401.

It is an arithmetic number, because the mean of its divisors is an integer number (149333184).

Almost surely, 2^10221770676 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 10221770676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14335985664).

10221770676 is an abundant number, since it is smaller than the sum of its proper divisors (18450200652).

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

10221770676 is a wasteful number, since it uses less digits than its factorization.

10221770676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The spelling of 10221770676 in words is "ten billion, two hundred twenty-one million, seven hundred seventy thousand, six hundred seventy-six".