10525780967716 has 243 divisors, whose sum is σ = 22735145265651. Its totient is φ = 4251390998400.

The previous prime is 10525780967699. The next prime is 10525780967717. The reversal of 10525780967716 is 61776908752501.

The square root of 10525780967716 is 3244346.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3158247905316 + 7367533062400 = 1777146^2 + 2714320^2 .

It is a super-2 number, since 2×10525780967716² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10525780967717) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 80349472971 + ... + 80349473101.

Almost surely, 2^{10525780967716} is an apocalyptic number.

10525780967716 is the 3244346-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10525780967716

10525780967716 is an abundant number, since it is smaller than the sum of its proper divisors (12209364297935).

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

10525780967716 is an equidigital number, since it uses as much as digits as its factorization.

10525780967716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 64.

Multiplying 10525780967716 by its sum of digits (64), we get a square (673649981933824 = 25954768²).

The spelling of 10525780967716 in words is "ten trillion, five hundred twenty-five billion, seven hundred eighty million, nine hundred sixty-seven thousand, seven hundred sixteen".