5515519180800 has 720 divisors, whose sum is σ = 19395652348800. Its totient is φ = 1379008512000.

The previous prime is 5515519180799. The next prime is 5515519180807. The reversal of 5515519180800 is 80819155155.

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 5515519180800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5515519180807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2358066031 + ... + 2358068369.

It is an arithmetic number, because the mean of its divisors is an integer number (26938406040).

Almost surely, 2^{5515519180800} is an apocalyptic number.

5515519180800 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 5515519180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9697826174400).

5515519180800 is an abundant number, since it is smaller than the sum of its proper divisors (13880133168000).

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

5515519180800 is a wasteful number, since it uses less digits than its factorization.

5515519180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 48.

The spelling of 5515519180800 in words is "five trillion, five hundred fifteen billion, five hundred nineteen million, one hundred eighty thousand, eight hundred".