5588048952864 has 192 divisors, whose sum is σ = 18628532858880. Its totient is φ = 1596439445760.

The previous prime is 5588048952851. The next prime is 5588048952907. The reversal of 5588048952864 is 4682598408855.

5588048952864 is a `hidden beast` number, since 5 + 5 + 8 + 80 + 489 + 5 + 2 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5588048952792 and 5588048952801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78049947 + ... + 78121509.

It is an arithmetic number, because the mean of its divisors is an integer number (97023608640).

Almost surely, 2^{5588048952864} is an apocalyptic number.

5588048952864 is a gapful number since it is divisible by the number (54) 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 5588048952864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9314266429440).

5588048952864 is an abundant number, since it is smaller than the sum of its proper divisors (13040483906016).

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

5588048952864 is a wasteful number, since it uses less digits than its factorization.

5588048952864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84500 (or 84486 counting only the distinct ones).

The product of its (nonzero) digits is 884736000, while the sum is 72.

The spelling of 5588048952864 in words is "five trillion, five hundred eighty-eight billion, forty-eight million, nine hundred fifty-two thousand, eight hundred sixty-four".