10773288468 has 96 divisors (see below), whose sum is σ = 28298229120. Its totient is φ = 3544128000.

The previous prime is 10773288457. The next prime is 10773288469. The reversal of 10773288468 is 86488237701.

It is a happy number.

10773288468 is a `hidden beast` number, since 1 + 0 + 77 + 32 + 88 + 468 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10773288469) 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, 3061446 + ... + 3064962.

It is an arithmetic number, because the mean of its divisors is an integer number (294773220).

Almost surely, 2^10773288468 is an apocalyptic number.

10773288468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10773288468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14149114560).

10773288468 is an abundant number, since it is smaller than the sum of its proper divisors (17524940652).

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

10773288468 is a wasteful number, since it uses less digits than its factorization.

10773288468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 10773288468 in words is "ten billion, seven hundred seventy-three million, two hundred eighty-eight thousand, four hundred sixty-eight".