551806254720 has 768 divisors, whose sum is σ = 2248401242880. Its totient is φ = 122067025920.

The previous prime is 551806254719. The next prime is 551806254761. The reversal of 551806254720 is 27452608155.

551806254720 is a `hidden beast` number, since 5 + 5 + 1 + 80 + 6 + 2 + 547 + 20 = 666.

It is a super-2 number, since 2×551806254720² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 314777364 + ... + 314779116.

It is an arithmetic number, because the mean of its divisors is an integer number (2927605785).

Almost surely, 2^551806254720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 551806254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124200621440).

551806254720 is an abundant number, since it is smaller than the sum of its proper divisors (1696594988160).

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

551806254720 is a wasteful number, since it uses less digits than its factorization.

551806254720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 551806254720 in words is "five hundred fifty-one billion, eight hundred six million, two hundred fifty-four thousand, seven hundred twenty".