551213759664 has 200 divisors, whose sum is σ = 1625023224000. Its totient is φ = 180333143424.

The previous prime is 551213759659. The next prime is 551213759687. The reversal of 551213759664 is 466957312155.

551213759664 is a `hidden beast` number, since 5 + 5 + 12 + 1 + 37 + 596 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 551213759664.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50384307 + ... + 50395245.

It is an arithmetic number, because the mean of its divisors is an integer number (8125116120).

Almost surely, 2^551213759664 is an apocalyptic number.

551213759664 is a gapful number since it is divisible by the number (54) 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 551213759664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812511612000).

551213759664 is an abundant number, since it is smaller than the sum of its proper divisors (1073809464336).

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

551213759664 is a wasteful number, since it uses less digits than its factorization.

551213759664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11677 (or 11662 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The spelling of 551213759664 in words is "five hundred fifty-one billion, two hundred thirteen million, seven hundred fifty-nine thousand, six hundred sixty-four".