10097777664 has 264 divisors, whose sum is σ = 31786307280. Its totient is φ = 3068854272.

The previous prime is 10097777659. The next prime is 10097777681. The reversal of 10097777664 is 46677779001.

10097777664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10097777664² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10097777664.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10662439 + ... + 10663385.

Almost surely, 2^10097777664 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 10097777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15893153640).

10097777664 is an abundant number, since it is smaller than the sum of its proper divisors (21688529616).

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

10097777664 is a wasteful number, since it uses less digits than its factorization.

10097777664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 10097777664 in words is "ten billion, ninety-seven million, seven hundred seventy-seven thousand, six hundred sixty-four".