10777040450 has 96 divisors (see below), whose sum is σ = 22386656448. Its totient is φ = 3858835200.

The previous prime is 10777040447. The next prime is 10777040459. The reversal of 10777040450 is 5404077701.

It is a super-2 number, since 2×10777040450² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10777040450.

It is not an unprimeable number, because it can be changed into a prime (10777040459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4457642 + ... + 4460058.

It is an arithmetic number, because the mean of its divisors is an integer number (233194338).

Almost surely, 2^10777040450 is an apocalyptic number.

10777040450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10777040450 is an abundant number, since it is smaller than the sum of its proper divisors (11609615998).

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

10777040450 is a wasteful number, since it uses less digits than its factorization.

10777040450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 35.

The spelling of 10777040450 in words is "ten billion, seven hundred seventy-seven million, forty thousand, four hundred fifty".