5556513152400 has 480 divisors, whose sum is σ = 21149005305600. Its totient is φ = 1246091857920.

The previous prime is 5556513152381. The next prime is 5556513152401. The reversal of 5556513152400 is 42513156555.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5556513152401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21687444 + ... + 21942156.

It is an arithmetic number, because the mean of its divisors is an integer number (44060427720).

Almost surely, 2^{5556513152400} is an apocalyptic number.

5556513152400 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 5556513152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10574502652800).

5556513152400 is an abundant number, since it is smaller than the sum of its proper divisors (15592492153200).

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

5556513152400 is a wasteful number, since it uses less digits than its factorization.

5556513152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254808 (or 254783 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 42.

The spelling of 5556513152400 in words is "five trillion, five hundred fifty-six billion, five hundred thirteen million, one hundred fifty-two thousand, four hundred".