551119968000 has 864 divisors, whose sum is σ = 2275135454592. Its totient is φ = 125485056000.

The previous prime is 551119967977. The next prime is 551119968001. The reversal of 551119968000 is 869911155.

551119968000 is a `hidden beast` number, since 551 + 1 + 1 + 9 + 96 + 8 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551119968001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 929375704 + ... + 929376296.

It is an arithmetic number, because the mean of its divisors is an integer number (2633258628).

Almost surely, 2^551119968000 is an apocalyptic number.

551119968000 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 551119968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137567727296).

551119968000 is an abundant number, since it is smaller than the sum of its proper divisors (1724015486592).

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

551119968000 is a wasteful number, since it uses less digits than its factorization.

551119968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The spelling of 551119968000 in words is "five hundred fifty-one billion, one hundred nineteen million, nine hundred sixty-eight thousand".