55251541800 has 1296 divisors, whose sum is σ = 246062063520. Its totient is φ = 11281420800.

The previous prime is 55251541789. The next prime is 55251541801. The reversal of 55251541800 is 814515255.

55251541800 is a `hidden beast` number, since 5 + 525 + 1 + 54 + 1 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55251541801) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1782307785 + ... + 1782307815.

Almost surely, 2^55251541800 is an apocalyptic number.

55251541800 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 55251541800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123031031760).

55251541800 is an abundant number, since it is smaller than the sum of its proper divisors (190810521720).

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

55251541800 is a wasteful number, since it uses less digits than its factorization.

55251541800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 55251541800 in words is "fifty-five billion, two hundred fifty-one million, five hundred forty-one thousand, eight hundred".