55500046566400 has 132 divisors (see below), whose sum is σ = 137777368564372. Its totient is φ = 22167025090560.

The previous prime is 55500046566383. The next prime is 55500046566403. The reversal of 55500046566400 is 466564000555.

It can be written as a sum of positive squares in 6 ways, for example, as 13729574158336 + 41770472408064 = 3705344^2 + 6463008^2 .

It is not an unprimeable number, because it can be changed into a prime (55500046566403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15618124 + ... + 18839476.

Almost surely, 2^{55500046566400} is an apocalyptic number.

55500046566400 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 55500046566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68888684282186).

55500046566400 is an abundant number, since it is smaller than the sum of its proper divisors (82277321997972).

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

55500046566400 is a wasteful number, since it uses less digits than its factorization.

55500046566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222056 (or 3222033 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 46.

The spelling of 55500046566400 in words is "fifty-five trillion, five hundred billion, forty-six million, five hundred sixty-six thousand, four hundred".