5481084211200 has 936 divisors, whose sum is σ = 21413543889920. Its totient is φ = 1331881574400.

The previous prime is 5481084211123. The next prime is 5481084211217. The reversal of 5481084211200 is 21124801845.

5481084211200 is a `hidden beast` number, since 5 + 4 + 8 + 108 + 421 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 946480305 + ... + 946486095.

Almost surely, 2^{5481084211200} is an apocalyptic number.

5481084211200 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 5481084211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10706771944960).

5481084211200 is an abundant number, since it is smaller than the sum of its proper divisors (15932459678720).

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

5481084211200 is a wasteful number, since it uses less digits than its factorization.

5481084211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5923 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 5481084211200 in words is "five trillion, four hundred eighty-one billion, eighty-four million, two hundred eleven thousand, two hundred".