551238681600 has 1584 divisors, whose sum is σ = 2266541896320. Its totient is φ = 127166054400.

The previous prime is 551238681569. The next prime is 551238681607. The reversal of 551238681600 is 6186832155.

551238681600 is a `hidden beast` number, since 5 + 5 + 1 + 2 + 38 + 6 + 8 + 1 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (551238681607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2612505495 + ... + 2612505705.

Almost surely, 2^551238681600 is an apocalyptic number.

551238681600 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 551238681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133270948160).

551238681600 is an abundant number, since it is smaller than the sum of its proper divisors (1715303214720).

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

551238681600 is a wasteful number, since it uses less digits than its factorization.

551238681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 551238681600 in words is "five hundred fifty-one billion, two hundred thirty-eight million, six hundred eighty-one thousand, six hundred".