551788397442000 has 480 divisors, whose sum is σ = 2051852529845664. Its totient is φ = 137722927104000.

The previous prime is 551788397441993. The next prime is 551788397442041. The reversal of 551788397442000 is 244793887155.

551788397442000 is a `hidden beast` number, since 5 + 5 + 178 + 8 + 39 + 7 + 4 + 420 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 543966620440464 + 7821777001536 = 23323092^2 + 2796744^2 .

It is a super-2 number, since 2×551788397442000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50404702 + ... + 60367298.

Almost surely, 2^{551788397442000} is an apocalyptic number.

551788397442000 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 551788397442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025926264922832).

551788397442000 is an abundant number, since it is smaller than the sum of its proper divisors (1500064132403664).

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

551788397442000 is a wasteful number, since it uses less digits than its factorization.

551788397442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9962824 (or 9962805 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 551788397442000 in words is "five hundred fifty-one trillion, seven hundred eighty-eight billion, three hundred ninety-seven million, four hundred forty-two thousand".