5388976623600 has 1200 divisors, whose sum is σ = 20404134051840. Its totient is φ = 1360451635200.

The previous prime is 5388976623599. The next prime is 5388976623629. The reversal of 5388976623600 is 63266798835.

5388976623600 is a `hidden beast` number, since 53 + 88 + 97 + 6 + 62 + 360 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10587380146 + ... + 10587380654.

Almost surely, 2^{5388976623600} is an apocalyptic number.

5388976623600 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 5388976623600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10202067025920).

5388976623600 is an abundant number, since it is smaller than the sum of its proper divisors (15015157428240).

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

5388976623600 is a wasteful number, since it uses less digits than its factorization.

5388976623600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 5388976623600 in words is "five trillion, three hundred eighty-eight billion, nine hundred seventy-six million, six hundred twenty-three thousand, six hundred".