551253280032 has 1728 divisors, whose sum is σ = 2191609405440. Its totient is φ = 128098713600.

The previous prime is 551253279979. The next prime is 551253280121. The reversal of 551253280032 is 230082352155.

551253280032 is a `hidden beast` number, since 5 + 5 + 12 + 532 + 80 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8227660863 + ... + 8227660929.

It is an arithmetic number, because the mean of its divisors is an integer number (1268292480).

Almost surely, 2^551253280032 is an apocalyptic number.

551253280032 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 551253280032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095804702720).

551253280032 is an abundant number, since it is smaller than the sum of its proper divisors (1640356125408).

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

551253280032 is a wasteful number, since it uses less digits than its factorization.

551253280032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 551253280032 in words is "five hundred fifty-one billion, two hundred fifty-three million, two hundred eighty thousand, thirty-two".