551251002400 has 432 divisors, whose sum is σ = 1628130792960. Its totient is φ = 178348032000.

The previous prime is 551251002391. The next prime is 551251002457. The reversal of 551251002400 is 4200152155.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 291820656 + ... + 291822544.

It is an arithmetic number, because the mean of its divisors is an integer number (3768821280).

Almost surely, 2^551251002400 is an apocalyptic number.

551251002400 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 551251002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814065396480).

551251002400 is an abundant number, since it is smaller than the sum of its proper divisors (1076879790560).

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

551251002400 is a wasteful number, since it uses less digits than its factorization.

551251002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 551251002400 its reverse (4200152155), we get a palindrome (555451154555).

The spelling of 551251002400 in words is "five hundred fifty-one billion, two hundred fifty-one million, two thousand, four hundred".