5551124572800 has 768 divisors, whose sum is σ = 21420450432000. Its totient is φ = 1400053248000.

The previous prime is 5551124572787. The next prime is 5551124572859. The reversal of 5551124572800 is 82754211555.

It is a happy number.

5551124572800 is a `hidden beast` number, since 5 + 5 + 5 + 112 + 457 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1121210325 + ... + 1121215275.

It is an arithmetic number, because the mean of its divisors is an integer number (27891211500).

Almost surely, 2^{5551124572800} is an apocalyptic number.

5551124572800 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 5551124572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10710225216000).

5551124572800 is an abundant number, since it is smaller than the sum of its proper divisors (15869325859200).

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

5551124572800 is a wasteful number, since it uses less digits than its factorization.

5551124572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 45.

The spelling of 5551124572800 in words is "five trillion, five hundred fifty-one billion, one hundred twenty-four million, five hundred seventy-two thousand, eight hundred".