5616624888000 has 2240 divisors, whose sum is σ = 24965174108160. Its totient is φ = 1219525632000.

The previous prime is 5616624887957. The next prime is 5616624888041. The reversal of 5616624888000 is 8884266165.

5616624888000 is a `hidden beast` number, since 5 + 6 + 1 + 6 + 624 + 8 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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 319 ways as a sum of consecutive naturals, for example, 8296343662 + ... + 8296344338.

Almost surely, 2^{5616624888000} is an apocalyptic number.

5616624888000 is a gapful number since it is divisible by the number (50) 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 5616624888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12482587054080).

5616624888000 is an abundant number, since it is smaller than the sum of its proper divisors (19348549220160).

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

5616624888000 is a wasteful number, since it uses less digits than its factorization.

5616624888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 5616624888000 in words is "five trillion, six hundred sixteen billion, six hundred twenty-four million, eight hundred eighty-eight thousand".