10783160964 has 81 divisors (see below), whose sum is σ = 28348584901. Its totient is φ = 3588779520.

The previous prime is 10783160923. The next prime is 10783160981. The reversal of 10783160964 is 46906138701.

It is a happy number.

The square root of 10783160964 is 103842.

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

10783160964 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 31 + 609 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9733400964 + 1049760000 = 98658^2 + 32400^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16822084 + ... + 16822724.

Almost surely, 2^10783160964 is an apocalyptic number.

10783160964 is the 103842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10783160964

10783160964 is an abundant number, since it is smaller than the sum of its proper divisors (17565423937).

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

10783160964 is an frugal number, since it uses more digits than its factorization.

10783160964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10783160964 in words is "ten billion, seven hundred eighty-three million, one hundred sixty thousand, nine hundred sixty-four".