55151122400 has 216 divisors, whose sum is σ = 149376454920. Its totient is φ = 19867161600.

The previous prime is 55151122393. The next prime is 55151122451. The reversal of 55151122400 is 422115155.

It is a self number, because there is not a number n which added to its sum of digits gives 55151122400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10548587 + ... + 10553813.

Almost surely, 2^55151122400 is an apocalyptic number.

55151122400 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 55151122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74688227460).

55151122400 is an abundant number, since it is smaller than the sum of its proper divisors (94225332520).

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

55151122400 is a wasteful number, since it uses less digits than its factorization.

55151122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

Adding to 55151122400 its reverse (422115155), we get a palindrome (55573237555).

The spelling of 55151122400 in words is "fifty-five billion, one hundred fifty-one million, one hundred twenty-two thousand, four hundred".