5556359424000 has 1536 divisors, whose sum is σ = 24409015787520. Its totient is φ = 1086455808000.

The previous prime is 5556359423981. The next prime is 5556359424037. The reversal of 5556359424000 is 4249536555.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×5556359424000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1005309237 + ... + 1005314763.

It is an arithmetic number, because the mean of its divisors is an integer number (15891286320).

Almost surely, 2^{5556359424000} is an apocalyptic number.

5556359424000 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 5556359424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12204507893760).

5556359424000 is an abundant number, since it is smaller than the sum of its proper divisors (18852656363520).

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

5556359424000 is a wasteful number, since it uses less digits than its factorization.

5556359424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 5556359424000 in words is "five trillion, five hundred fifty-six billion, three hundred fifty-nine million, four hundred twenty-four thousand".