554908968000 has 1568 divisors, whose sum is σ = 2268527096160. Its totient is φ = 133772083200.

The previous prime is 554908967981. The next prime is 554908968013. The reversal of 554908968000 is 869809455.

It is a happy number.

554908968000 is a `hidden beast` number, since 5 + 549 + 0 + 8 + 96 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 379495425024 + 175413542976 = 616032^2 + 418824^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2875175904 + ... + 2875176096.

Almost surely, 2^554908968000 is an apocalyptic number.

554908968000 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 554908968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134263548080).

554908968000 is an abundant number, since it is smaller than the sum of its proper divisors (1713618128160).

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

554908968000 is a wasteful number, since it uses less digits than its factorization.

554908968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 554908968000 in words is "five hundred fifty-four billion, nine hundred eight million, nine hundred sixty-eight thousand".