551560838400 has 2592 divisors, whose sum is σ = 2554745235840. Its totient is φ = 115015680000.

The previous prime is 551560838369. The next prime is 551560838461. The reversal of 551560838400 is 4838065155.

551560838400 is a `hidden beast` number, since 5 + 5 + 1 + 5 + 608 + 38 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5460998350 + ... + 5460998450.

It is an arithmetic number, because the mean of its divisors is an integer number (985627020).

Almost surely, 2^551560838400 is an apocalyptic number.

551560838400 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 551560838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277372617920).

551560838400 is an abundant number, since it is smaller than the sum of its proper divisors (2003184397440).

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

551560838400 is a wasteful number, since it uses less digits than its factorization.

551560838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 551560838400 in words is "five hundred fifty-one billion, five hundred sixty million, eight hundred thirty-eight thousand, four hundred".