5488715341200 has 1440 divisors, whose sum is σ = 23279716669440. Its totient is φ = 1092646195200.

The previous prime is 5488715341177. The next prime is 5488715341247. The reversal of 5488715341200 is 21435178845.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5488715341200.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4458744585 + ... + 4458745815.

Almost surely, 2^{5488715341200} is an apocalyptic number.

5488715341200 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 5488715341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11639858334720).

5488715341200 is an abundant number, since it is smaller than the sum of its proper divisors (17791001328240).

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

5488715341200 is a wasteful number, since it uses less digits than its factorization.

5488715341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 5488715341200 in words is "five trillion, four hundred eighty-eight billion, seven hundred fifteen million, three hundred forty-one thousand, two hundred".