10772745984 has 864 divisors, whose sum is σ = 43498151424. Its totient is φ = 2567946240.

The previous prime is 10772745931. The next prime is 10772746021. The reversal of 10772745984 is 48954727701.

10772745984 is a `hidden beast` number, since 107 + 7 + 2 + 7 + 459 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10772745984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62270122 + ... + 62270294.

Almost surely, 2^10772745984 is an apocalyptic number.

10772745984 is a gapful number since it is divisible by the number (14) 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 10772745984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21749075712).

10772745984 is an abundant number, since it is smaller than the sum of its proper divisors (32725405440).

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

10772745984 is a wasteful number, since it uses less digits than its factorization.

10772745984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 10772745984 in words is "ten billion, seven hundred seventy-two million, seven hundred forty-five thousand, nine hundred eighty-four".