11928116555280 has 320 divisors, whose sum is σ = 42560750937600. Its totient is φ = 3068379832320.

The previous prime is 11928116555269. The next prime is 11928116555291. The reversal of 11928116555280 is 8255561182911.

11928116555280 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 8 + 1 + 1 + 6 + 5 + 552 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (11928116555269) and next prime (11928116555291).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7125157 + ... + 8638523.

It is an arithmetic number, because the mean of its divisors is an integer number (133002346680).

Almost surely, 2^{11928116555280} is an apocalyptic number.

11928116555280 is a gapful number since it is divisible by the number (10) 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 11928116555280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21280375468800).

11928116555280 is an abundant number, since it is smaller than the sum of its proper divisors (30632634382320).

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

11928116555280 is a wasteful number, since it uses less digits than its factorization.

11928116555280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513519 (or 1513507 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 54.

The spelling of 11928116555280 in words is "eleven trillion, nine hundred twenty-eight billion, one hundred sixteen million, five hundred fifty-five thousand, two hundred eighty".