10380960769 has 9 divisors (see below), whose sum is σ = 10470465603. Its totient is φ = 10292217192.

The previous prime is 10380960761. The next prime is 10380960773. The reversal of 10380960769 is 96706908301.

The square root of 10380960769 is 101887.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10155600625 + 225360144 = 100775^2 + 15012^2 .

It is not a de Polignac number, because 10380960769 - 2³ = 10380960761 is a prime.

It is a super-2 number, since 2×10380960769² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10380960761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14161927 + ... + 14162659.

It is an arithmetic number, because the mean of its divisors is an integer number (1163385067).

Almost surely, 2^10380960769 is an apocalyptic number.

10380960769 is the 101887-th square number.

10380960769 is the 50944-th centered octagonal number.

It is an amenable number.

10380960769 is a deficient number, since it is larger than the sum of its proper divisors (89504834).

10380960769 is an frugal number, since it uses more digits than its factorization.

10380960769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

Multiplying 10380960769 by its sum of digits (49), we get a square (508667077681 = 713209²).

The spelling of 10380960769 in words is "ten billion, three hundred eighty million, nine hundred sixty thousand, seven hundred sixty-nine".