5553462710400 has 384 divisors, whose sum is σ = 20598310195200. Its totient is φ = 1302864384000.

The previous prime is 5553462710399. The next prime is 5553462710429. The reversal of 5553462710400 is 40172643555.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2425381 + ... + 4121819.

It is an arithmetic number, because the mean of its divisors is an integer number (53641432800).

Almost surely, 2^{5553462710400} is an apocalyptic number.

5553462710400 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 5553462710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10299155097600).

5553462710400 is an abundant number, since it is smaller than the sum of its proper divisors (15044847484800).

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

5553462710400 is a wasteful number, since it uses less digits than its factorization.

5553462710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696508 (or 1696491 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 5553462710400 in words is "five trillion, five hundred fifty-three billion, four hundred sixty-two million, seven hundred ten thousand, four hundred".