11928125664 has 288 divisors, whose sum is σ = 43585547040. Its totient is φ = 3145734144.

The previous prime is 11928125659. The next prime is 11928125669. The reversal of 11928125664 is 46652182911.

11928125664 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 81 + 2 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11928125659) and next prime (11928125669).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11928125669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539532 + ... + 561204.

It is an arithmetic number, because the mean of its divisors is an integer number (151338705).

Almost surely, 2^11928125664 is an apocalyptic number.

11928125664 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 11928125664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21792773520).

11928125664 is an abundant number, since it is smaller than the sum of its proper divisors (31657421376).

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

11928125664 is a wasteful number, since it uses less digits than its factorization.

11928125664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21719 (or 21698 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 11928125664 in words is "eleven billion, nine hundred twenty-eight million, one hundred twenty-five thousand, six hundred sixty-four".