10505597842756 has 9 divisors (see below), whose sum is σ = 18384807569149. Its totient is φ = 5252795680144.

The previous prime is 10505597842741. The next prime is 10505597842787. The reversal of 10505597842756 is 65724879550501.

The square root of 10505597842756 is 3241234.

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., 2310065612100 + 8195532230656 = 1519890^2 + 2862784^2 .

It is a super-2 number, since 2×10505597842756² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5672160 + ... + 7292776.

Almost surely, 2^{10505597842756} is an apocalyptic number.

10505597842756 is the 3241234-th square number.

It is an amenable number.

10505597842756 is a deficient number, since it is larger than the sum of its proper divisors (7879209726393).

10505597842756 is an frugal number, since it uses more digits than its factorization.

10505597842756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241238 (or 1620619 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 64.

Multiplying 10505597842756 by its sum of digits (64), we get a square (672358261936384 = 25929872²).

The spelling of 10505597842756 in words is "ten trillion, five hundred five billion, five hundred ninety-seven million, eight hundred forty-two thousand, seven hundred fifty-six".