554856120896 has 336 divisors, whose sum is σ = 1416641954112. Its totient is φ = 214975918080.

The previous prime is 554856120827. The next prime is 554856120919. The reversal of 554856120896 is 698021658455.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1281422696 + ... + 1281423128.

It is an arithmetic number, because the mean of its divisors is an integer number (4216196292).

Almost surely, 2^554856120896 is an apocalyptic number.

554856120896 is a gapful number since it is divisible by the number (56) 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 554856120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708320977056).

554856120896 is an abundant number, since it is smaller than the sum of its proper divisors (861785833216).

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

554856120896 is a wasteful number, since it uses less digits than its factorization.

554856120896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 59.

The spelling of 554856120896 in words is "five hundred fifty-four billion, eight hundred fifty-six million, one hundred twenty thousand, eight hundred ninety-six".