551916288000 has 3072 divisors, whose sum is σ = 2737624780800. Its totient is φ = 106168320000.

The previous prime is 551916287963. The next prime is 551916288041. The reversal of 551916288000 is 882619155.

It is a happy number.

551916288000 is a `hidden beast` number, since 5 + 5 + 19 + 1 + 628 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×551916288000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9047807970 + ... + 9047808030.

It is an arithmetic number, because the mean of its divisors is an integer number (891153900).

Almost surely, 2^551916288000 is an apocalyptic number.

551916288000 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 551916288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368812390400).

551916288000 is an abundant number, since it is smaller than the sum of its proper divisors (2185708492800).

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

551916288000 is a wasteful number, since it uses less digits than its factorization.

551916288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 551916288000 in words is "five hundred fifty-one billion, nine hundred sixteen million, two hundred eighty-eight thousand".