11624578479360 has 4032 divisors, whose sum is σ = 57073794269184. Its totient is φ = 2192906649600.

The previous prime is 11624578479341. The next prime is 11624578479403. The reversal of 11624578479360 is 6397487542611.

11624578479360 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 457 + 84 + 79 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 447 ways as a sum of consecutive naturals, for example, 37865076327 + ... + 37865076633.

It is an arithmetic number, because the mean of its divisors is an integer number (14155206912).

It is a 2-persistent number, because it is pandigital, and so is 2⋅11624578479360 = 23249156958720, but 3⋅11624578479360 = 34873735438080 is not.

Almost surely, 2^{11624578479360} is an apocalyptic number.

11624578479360 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 11624578479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28536897134592).

11624578479360 is an abundant number, since it is smaller than the sum of its proper divisors (45449215789824).

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

11624578479360 is a wasteful number, since it uses less digits than its factorization.

11624578479360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 11624578479360 in words is "eleven trillion, six hundred twenty-four billion, five hundred seventy-eight million, four hundred seventy-nine thousand, three hundred sixty".