10736772077563 has 32 divisors (see below), whose sum is σ = 12748933693440. Its totient is φ = 8848243630080.

The previous prime is 10736772077557. The next prime is 10736772077597. The reversal of 10736772077563 is 36577027763701.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10736772077563 - 2⁵ = 10736772077531 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10736772077263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21108193 + ... + 21610861.

It is an arithmetic number, because the mean of its divisors is an integer number (398404177920).

Almost surely, 2^{10736772077563} is an apocalyptic number.

10736772077563 is a deficient number, since it is larger than the sum of its proper divisors (2012161615877).

10736772077563 is a wasteful number, since it uses less digits than its factorization.

10736772077563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503347.

The product of its (nonzero) digits is 54454680, while the sum is 61.

The spelling of 10736772077563 in words is "ten trillion, seven hundred thirty-six billion, seven hundred seventy-two million, seventy-seven thousand, five hundred sixty-three".