551544745752 has 1536 divisors, whose sum is σ = 2209221181440. Its totient is φ = 124291584000.

The previous prime is 551544745691. The next prime is 551544745753. The reversal of 551544745752 is 257547445155.

551544745752 is a `hidden beast` number, since 5 + 5 + 1 + 544 + 7 + 45 + 7 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551544745753) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2473294713 + ... + 2473294935.

It is an arithmetic number, because the mean of its divisors is an integer number (1438295040).

Almost surely, 2^551544745752 is an apocalyptic number.

551544745752 is a gapful number since it is divisible by the number (52) 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 551544745752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104610590720).

551544745752 is an abundant number, since it is smaller than the sum of its proper divisors (1657676435688).

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

551544745752 is a wasteful number, since it uses less digits than its factorization.

551544745752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 331 counting only the distinct ones).

The product of its digits is 19600000, while the sum is 54.

The spelling of 551544745752 in words is "five hundred fifty-one billion, five hundred forty-four million, seven hundred forty-five thousand, seven hundred fifty-two".