10772249184 has 96 divisors (see below), whose sum is σ = 31536540000. Its totient is φ = 3577324032.

The previous prime is 10772249171. The next prime is 10772249231. The reversal of 10772249184 is 48194227701.

10772249184 is a `hidden beast` number, since 10 + 7 + 72 + 2 + 491 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 209242 + ... + 255590.

It is an arithmetic number, because the mean of its divisors is an integer number (328505625).

Almost surely, 2^10772249184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10772249184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15768270000).

10772249184 is an abundant number, since it is smaller than the sum of its proper divisors (20764290816).

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

10772249184 is a wasteful number, since it uses less digits than its factorization.

10772249184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46637 (or 46623 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 10772249184 in words is "ten billion, seven hundred seventy-two million, two hundred forty-nine thousand, one hundred eighty-four".