5516547379200 has 1560 divisors, whose sum is σ = 24012256721376. Its totient is φ = 1234206720000.

The previous prime is 5516547379193. The next prime is 5516547379201. The reversal of 5516547379200 is 29737456155.

It is a happy number.

5516547379200 is a `hidden beast` number, since 5 + 5 + 1 + 6 + 547 + 3 + 7 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5516547379201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1186096875 + ... + 1186101525.

Almost surely, 2^{5516547379200} is an apocalyptic number.

5516547379200 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 5516547379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12006128360688).

5516547379200 is an abundant number, since it is smaller than the sum of its proper divisors (18495709342176).

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

5516547379200 is a wasteful number, since it uses less digits than its factorization.

5516547379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 5516547379200 in words is "five trillion, five hundred sixteen billion, five hundred forty-seven million, three hundred seventy-nine thousand, two hundred".