11929338675072 has 2304 divisors, whose sum is σ = 47805602906880. Its totient is φ = 2924592168960.

The previous prime is 11929338675011. The next prime is 11929338675103. The reversal of 11929338675072 is 27057683392911.

11929338675072 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 93 + 38 + 6 + 7 + 507 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 36040297947 + ... + 36040298277.

It is an arithmetic number, because the mean of its divisors is an integer number (20748959595).

Almost surely, 2^{11929338675072} is an apocalyptic number.

11929338675072 is a gapful number since it is divisible by the number (12) 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 11929338675072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23902801453440).

11929338675072 is an abundant number, since it is smaller than the sum of its proper divisors (35876264231808).

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

11929338675072 is a wasteful number, since it uses less digits than its factorization.

11929338675072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 11929338675072 in words is "eleven trillion, nine hundred twenty-nine billion, three hundred thirty-eight million, six hundred seventy-five thousand, seventy-two".