551885606400 has 960 divisors, whose sum is σ = 2016112621248. Its totient is φ = 132498063360.

The previous prime is 551885606399. The next prime is 551885606423. The reversal of 551885606400 is 4606588155.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 551885606400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1763212644 + ... + 1763212956.

Almost surely, 2^551885606400 is an apocalyptic number.

551885606400 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 551885606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008056310624).

551885606400 is an abundant number, since it is smaller than the sum of its proper divisors (1464227014848).

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

551885606400 is a wasteful number, since it uses less digits than its factorization.

551885606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The spelling of 551885606400 in words is "five hundred fifty-one billion, eight hundred eighty-five million, six hundred six thousand, four hundred".